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Finding the Fourth Proportional to 841.24, 1,263.68 and 711.50

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Solution

The fourth proportional to 841.24, 1,263.68 and 711.50 is: 1,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.24 : 1,263.68 = 711.50 : x
  2. Step 2: Convert to fraction form
    841.24/1,263.68 = 711.50/x
  3. Step 3: Cross multiply
    841.24x = 1,263.68 × 711.50
  4. Step 4: Simplify right side
    841.24x = 899,098.44
  5. Step 5: Solve for x
    x = 899,098.44/841.24
  6. Step 6: Final answer
    x = 1,068.78

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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.