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Finding the Fourth Proportional to 1,252.06, 1,875.35 and 763.63

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Solution

The fourth proportional to 1,252.06, 1,875.35 and 763.63 is: 1,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.06 : 1,875.35 = 763.63 : x
  2. Step 2: Convert to fraction form
    1,252.06/1,875.35 = 763.63/x
  3. Step 3: Cross multiply
    1,252.06x = 1,875.35 × 763.63
  4. Step 4: Simplify right side
    1,252.06x = 1,432,070.74
  5. Step 5: Solve for x
    x = 1,432,070.74/1,252.06
  6. Step 6: Final answer
    x = 1,143.77

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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.