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Finding the Fourth Proportional to 1,030.64, 1,542.92 and 972.93

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Solution

The fourth proportional to 1,030.64, 1,542.92 and 972.93 is: 1,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.64 : 1,542.92 = 972.93 : x
  2. Step 2: Convert to fraction form
    1,030.64/1,542.92 = 972.93/x
  3. Step 3: Cross multiply
    1,030.64x = 1,542.92 × 972.93
  4. Step 4: Simplify right side
    1,030.64x = 1,501,153.16
  5. Step 5: Solve for x
    x = 1,501,153.16/1,030.64
  6. Step 6: Final answer
    x = 1,456.53

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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.