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Finding the Fourth Proportional to 1,265.99, 1,747.08 and 706.50

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Solution

The fourth proportional to 1,265.99, 1,747.08 and 706.50 is: 974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.99 : 1,747.08 = 706.50 : x
  2. Step 2: Convert to fraction form
    1,265.99/1,747.08 = 706.50/x
  3. Step 3: Cross multiply
    1,265.99x = 1,747.08 × 706.50
  4. Step 4: Simplify right side
    1,265.99x = 1,234,312.02
  5. Step 5: Solve for x
    x = 1,234,312.02/1,265.99
  6. Step 6: Final answer
    x = 974.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.