Home / 1,023.14-1,526.85-913.78

Finding the Fourth Proportional to 1,023.14, 1,526.85 and 913.78

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Solution

The fourth proportional to 1,023.14, 1,526.85 and 913.78 is: 1,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.14 : 1,526.85 = 913.78 : x
  2. Step 2: Convert to fraction form
    1,023.14/1,526.85 = 913.78/x
  3. Step 3: Cross multiply
    1,023.14x = 1,526.85 × 913.78
  4. Step 4: Simplify right side
    1,023.14x = 1,395,204.99
  5. Step 5: Solve for x
    x = 1,395,204.99/1,023.14
  6. Step 6: Final answer
    x = 1,363.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.