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Finding the Fourth Proportional to 715.77, 987.72 and 401.02

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Solution

The fourth proportional to 715.77, 987.72 and 401.02 is: 553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.77 : 987.72 = 401.02 : x
  2. Step 2: Convert to fraction form
    715.77/987.72 = 401.02/x
  3. Step 3: Cross multiply
    715.77x = 987.72 × 401.02
  4. Step 4: Simplify right side
    715.77x = 396,095.47
  5. Step 5: Solve for x
    x = 396,095.47/715.77
  6. Step 6: Final answer
    x = 553.38

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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.