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Finding the Fourth Proportional to 1,269.77, 1,752.12 and 710.24

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Solution

The fourth proportional to 1,269.77, 1,752.12 and 710.24 is: 980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.77 : 1,752.12 = 710.24 : x
  2. Step 2: Convert to fraction form
    1,269.77/1,752.12 = 710.24/x
  3. Step 3: Cross multiply
    1,269.77x = 1,752.12 × 710.24
  4. Step 4: Simplify right side
    1,269.77x = 1,244,416.95
  5. Step 5: Solve for x
    x = 1,244,416.95/1,269.77
  6. Step 6: Final answer
    x = 980.04

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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.