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Finding the Fourth Proportional to 1,257.32, 1,885.50 and 435.39

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Solution

The fourth proportional to 1,257.32, 1,885.50 and 435.39 is: 652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.32 : 1,885.50 = 435.39 : x
  2. Step 2: Convert to fraction form
    1,257.32/1,885.50 = 435.39/x
  3. Step 3: Cross multiply
    1,257.32x = 1,885.50 × 435.39
  4. Step 4: Simplify right side
    1,257.32x = 820,927.85
  5. Step 5: Solve for x
    x = 820,927.85/1,257.32
  6. Step 6: Final answer
    x = 652.92

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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.