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Finding the Fourth Proportional to 650.48, 973.92 and 542.72

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Solution

The fourth proportional to 650.48, 973.92 and 542.72 is: 812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.48 : 973.92 = 542.72 : x
  2. Step 2: Convert to fraction form
    650.48/973.92 = 542.72/x
  3. Step 3: Cross multiply
    650.48x = 973.92 × 542.72
  4. Step 4: Simplify right side
    650.48x = 528,565.86
  5. Step 5: Solve for x
    x = 528,565.86/650.48
  6. Step 6: Final answer
    x = 812.58

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