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Finding the Fourth Proportional to 656.16, 906.48 and 529.94

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Solution

The fourth proportional to 656.16, 906.48 and 529.94 is: 732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.16 : 906.48 = 529.94 : x
  2. Step 2: Convert to fraction form
    656.16/906.48 = 529.94/x
  3. Step 3: Cross multiply
    656.16x = 906.48 × 529.94
  4. Step 4: Simplify right side
    656.16x = 480,375.48
  5. Step 5: Solve for x
    x = 480,375.48/656.16
  6. Step 6: Final answer
    x = 732.10

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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.