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Finding the Fourth Proportional to 1,210.13, 1,669.98 and 686.13

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Solution

The fourth proportional to 1,210.13, 1,669.98 and 686.13 is: 946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.13 : 1,669.98 = 686.13 : x
  2. Step 2: Convert to fraction form
    1,210.13/1,669.98 = 686.13/x
  3. Step 3: Cross multiply
    1,210.13x = 1,669.98 × 686.13
  4. Step 4: Simplify right side
    1,210.13x = 1,145,823.38
  5. Step 5: Solve for x
    x = 1,145,823.38/1,210.13
  6. Step 6: Final answer
    x = 946.86

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Half scale
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Double scale
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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.