Home / 1,023.50-1,534.80-373.79

Finding the Fourth Proportional to 1,023.50, 1,534.80 and 373.79

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Solution

The fourth proportional to 1,023.50, 1,534.80 and 373.79 is: 560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.50 : 1,534.80 = 373.79 : x
  2. Step 2: Convert to fraction form
    1,023.50/1,534.80 = 373.79/x
  3. Step 3: Cross multiply
    1,023.50x = 1,534.80 × 373.79
  4. Step 4: Simplify right side
    1,023.50x = 573,685.22
  5. Step 5: Solve for x
    x = 573,685.22/1,023.50
  6. Step 6: Final answer
    x = 560.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.