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Finding the Fourth Proportional to 1,075.30, 1,613.04 and 425.89

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Solution

The fourth proportional to 1,075.30, 1,613.04 and 425.89 is: 638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.30 : 1,613.04 = 425.89 : x
  2. Step 2: Convert to fraction form
    1,075.30/1,613.04 = 425.89/x
  3. Step 3: Cross multiply
    1,075.30x = 1,613.04 × 425.89
  4. Step 4: Simplify right side
    1,075.30x = 686,977.61
  5. Step 5: Solve for x
    x = 686,977.61/1,075.30
  6. Step 6: Final answer
    x = 638.87

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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.