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Finding the Fourth Proportional to 1,252.35, 1,878.53 and 430.61

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Solution

The fourth proportional to 1,252.35, 1,878.53 and 430.61 is: 645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.35 : 1,878.53 = 430.61 : x
  2. Step 2: Convert to fraction form
    1,252.35/1,878.53 = 430.61/x
  3. Step 3: Cross multiply
    1,252.35x = 1,878.53 × 430.61
  4. Step 4: Simplify right side
    1,252.35x = 808,902.26
  5. Step 5: Solve for x
    x = 808,902.26/1,252.35
  6. Step 6: Final answer
    x = 645.91

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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.