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Finding the Fourth Proportional to 1,030.42, 1,542.84 and 613.63

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Solution

The fourth proportional to 1,030.42, 1,542.84 and 613.63 is: 918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.42 : 1,542.84 = 613.63 : x
  2. Step 2: Convert to fraction form
    1,030.42/1,542.84 = 613.63/x
  3. Step 3: Cross multiply
    1,030.42x = 1,542.84 × 613.63
  4. Step 4: Simplify right side
    1,030.42x = 946,732.91
  5. Step 5: Solve for x
    x = 946,732.91/1,030.42
  6. Step 6: Final answer
    x = 918.78

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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.