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Finding the Fourth Proportional to 903.60, 1,354.46 and 574.79

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Solution

The fourth proportional to 903.60, 1,354.46 and 574.79 is: 861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.60 : 1,354.46 = 574.79 : x
  2. Step 2: Convert to fraction form
    903.60/1,354.46 = 574.79/x
  3. Step 3: Cross multiply
    903.60x = 1,354.46 × 574.79
  4. Step 4: Simplify right side
    903.60x = 778,520.42
  5. Step 5: Solve for x
    x = 778,520.42/903.60
  6. Step 6: Final answer
    x = 861.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.