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Finding the Fourth Proportional to 716.76, 987.54 and 598.32

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Solution

The fourth proportional to 716.76, 987.54 and 598.32 is: 824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.76 : 987.54 = 598.32 : x
  2. Step 2: Convert to fraction form
    716.76/987.54 = 598.32/x
  3. Step 3: Cross multiply
    716.76x = 987.54 × 598.32
  4. Step 4: Simplify right side
    716.76x = 590,864.93
  5. Step 5: Solve for x
    x = 590,864.93/716.76
  6. Step 6: Final answer
    x = 824.36

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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.