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Finding the Fourth Proportional to 654.48, 900.84 and 557.04

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Solution

The fourth proportional to 654.48, 900.84 and 557.04 is: 766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.48 : 900.84 = 557.04 : x
  2. Step 2: Convert to fraction form
    654.48/900.84 = 557.04/x
  3. Step 3: Cross multiply
    654.48x = 900.84 × 557.04
  4. Step 4: Simplify right side
    654.48x = 501,803.91
  5. Step 5: Solve for x
    x = 501,803.91/654.48
  6. Step 6: Final answer
    x = 766.72

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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.