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Finding the Fourth Proportional to 657.12, 981.42 and 520.32

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Solution

The fourth proportional to 657.12, 981.42 and 520.32 is: 777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.12 : 981.42 = 520.32 : x
  2. Step 2: Convert to fraction form
    657.12/981.42 = 520.32/x
  3. Step 3: Cross multiply
    657.12x = 981.42 × 520.32
  4. Step 4: Simplify right side
    657.12x = 510,652.45
  5. Step 5: Solve for x
    x = 510,652.45/657.12
  6. Step 6: Final answer
    x = 777.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.