Home / 1,026.28-1,416.24-560.50

Finding the Fourth Proportional to 1,026.28, 1,416.24 and 560.50

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Solution

The fourth proportional to 1,026.28, 1,416.24 and 560.50 is: 773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.28 : 1,416.24 = 560.50 : x
  2. Step 2: Convert to fraction form
    1,026.28/1,416.24 = 560.50/x
  3. Step 3: Cross multiply
    1,026.28x = 1,416.24 × 560.50
  4. Step 4: Simplify right side
    1,026.28x = 793,802.52
  5. Step 5: Solve for x
    x = 793,802.52/1,026.28
  6. Step 6: Final answer
    x = 773.48

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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.