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Finding the Fourth Proportional to 715.69, 987.75 and 432.12

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Solution

The fourth proportional to 715.69, 987.75 and 432.12 is: 596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.69 : 987.75 = 432.12 : x
  2. Step 2: Convert to fraction form
    715.69/987.75 = 432.12/x
  3. Step 3: Cross multiply
    715.69x = 987.75 × 432.12
  4. Step 4: Simplify right side
    715.69x = 426,829.54
  5. Step 5: Solve for x
    x = 426,829.54/715.69
  6. Step 6: Final answer
    x = 596.39

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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.