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Finding the Fourth Proportional to 575.40, 859.29 and 502.50

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Solution

The fourth proportional to 575.40, 859.29 and 502.50 is: 750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.40 : 859.29 = 502.50 : x
  2. Step 2: Convert to fraction form
    575.40/859.29 = 502.50/x
  3. Step 3: Cross multiply
    575.40x = 859.29 × 502.50
  4. Step 4: Simplify right side
    575.40x = 431,793.23
  5. Step 5: Solve for x
    x = 431,793.23/575.40
  6. Step 6: Final answer
    x = 750.42

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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.