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Finding the Fourth Proportional to 1,034.12, 1,551.03 and 384.70

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Solution

The fourth proportional to 1,034.12, 1,551.03 and 384.70 is: 576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.12 : 1,551.03 = 384.70 : x
  2. Step 2: Convert to fraction form
    1,034.12/1,551.03 = 384.70/x
  3. Step 3: Cross multiply
    1,034.12x = 1,551.03 × 384.70
  4. Step 4: Simplify right side
    1,034.12x = 596,681.24
  5. Step 5: Solve for x
    x = 596,681.24/1,034.12
  6. Step 6: Final answer
    x = 576.99

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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.