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Finding the Fourth Proportional to 1,045.87, 1,568.38 and 429.55

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Solution

The fourth proportional to 1,045.87, 1,568.38 and 429.55 is: 644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.87 : 1,568.38 = 429.55 : x
  2. Step 2: Convert to fraction form
    1,045.87/1,568.38 = 429.55/x
  3. Step 3: Cross multiply
    1,045.87x = 1,568.38 × 429.55
  4. Step 4: Simplify right side
    1,045.87x = 673,697.63
  5. Step 5: Solve for x
    x = 673,697.63/1,045.87
  6. Step 6: Final answer
    x = 644.15

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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.