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Finding the Fourth Proportional to 655.68, 903.36 and 566.40

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Solution

The fourth proportional to 655.68, 903.36 and 566.40 is: 780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.68 : 903.36 = 566.40 : x
  2. Step 2: Convert to fraction form
    655.68/903.36 = 566.40/x
  3. Step 3: Cross multiply
    655.68x = 903.36 × 566.40
  4. Step 4: Simplify right side
    655.68x = 511,663.10
  5. Step 5: Solve for x
    x = 511,663.10/655.68
  6. Step 6: Final answer
    x = 780.35

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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.