Home / 1,026.47-1,416.53-560.72

Finding the Fourth Proportional to 1,026.47, 1,416.53 and 560.72

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Solution

The fourth proportional to 1,026.47, 1,416.53 and 560.72 is: 773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.47 : 1,416.53 = 560.72 : x
  2. Step 2: Convert to fraction form
    1,026.47/1,416.53 = 560.72/x
  3. Step 3: Cross multiply
    1,026.47x = 1,416.53 × 560.72
  4. Step 4: Simplify right side
    1,026.47x = 794,276.70
  5. Step 5: Solve for x
    x = 794,276.70/1,026.47
  6. Step 6: Final answer
    x = 773.79

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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.