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Finding the Fourth Proportional to 740.99, 1,023.32 and 520.31

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Solution

The fourth proportional to 740.99, 1,023.32 and 520.31 is: 718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.99 : 1,023.32 = 520.31 : x
  2. Step 2: Convert to fraction form
    740.99/1,023.32 = 520.31/x
  3. Step 3: Cross multiply
    740.99x = 1,023.32 × 520.31
  4. Step 4: Simplify right side
    740.99x = 532,441.03
  5. Step 5: Solve for x
    x = 532,441.03/740.99
  6. Step 6: Final answer
    x = 718.55

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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.