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Finding the Fourth Proportional to 1,045.57, 1,568.96 and 429.71

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Solution

The fourth proportional to 1,045.57, 1,568.96 and 429.71 is: 644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.57 : 1,568.96 = 429.71 : x
  2. Step 2: Convert to fraction form
    1,045.57/1,568.96 = 429.71/x
  3. Step 3: Cross multiply
    1,045.57x = 1,568.96 × 429.71
  4. Step 4: Simplify right side
    1,045.57x = 674,199.58
  5. Step 5: Solve for x
    x = 674,199.58/1,045.57
  6. Step 6: Final answer
    x = 644.82

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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.