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Finding the Fourth Proportional to 1,085.38, 1,497.62 and 643.36

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Solution

The fourth proportional to 1,085.38, 1,497.62 and 643.36 is: 887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.38 : 1,497.62 = 643.36 : x
  2. Step 2: Convert to fraction form
    1,085.38/1,497.62 = 643.36/x
  3. Step 3: Cross multiply
    1,085.38x = 1,497.62 × 643.36
  4. Step 4: Simplify right side
    1,085.38x = 963,508.80
  5. Step 5: Solve for x
    x = 963,508.80/1,085.38
  6. Step 6: Final answer
    x = 887.72

Related Problems

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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.