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Finding the Fourth Proportional to 1,312.47, 1,810.53 and 814.92

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Solution

The fourth proportional to 1,312.47, 1,810.53 and 814.92 is: 1,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.47 : 1,810.53 = 814.92 : x
  2. Step 2: Convert to fraction form
    1,312.47/1,810.53 = 814.92/x
  3. Step 3: Cross multiply
    1,312.47x = 1,810.53 × 814.92
  4. Step 4: Simplify right side
    1,312.47x = 1,475,437.11
  5. Step 5: Solve for x
    x = 1,475,437.11/1,312.47
  6. Step 6: Final answer
    x = 1,124.17

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Half scale
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Double scale
Find fourth proportional to 1,313.47, 1,811.91 and 815.92
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.