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Finding the Fourth Proportional to 655.86, 904.80 and 572.96

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Solution

The fourth proportional to 655.86, 904.80 and 572.96 is: 790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.86 : 904.80 = 572.96 : x
  2. Step 2: Convert to fraction form
    655.86/904.80 = 572.96/x
  3. Step 3: Cross multiply
    655.86x = 904.80 × 572.96
  4. Step 4: Simplify right side
    655.86x = 518,414.21
  5. Step 5: Solve for x
    x = 518,414.21/655.86
  6. Step 6: Final answer
    x = 790.43

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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.