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Finding the Fourth Proportional to 574.40, 857.80 and 501.50

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Solution

The fourth proportional to 574.40, 857.80 and 501.50 is: 748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.40 : 857.80 = 501.50 : x
  2. Step 2: Convert to fraction form
    574.40/857.80 = 501.50/x
  3. Step 3: Cross multiply
    574.40x = 857.80 × 501.50
  4. Step 4: Simplify right side
    574.40x = 430,186.70
  5. Step 5: Solve for x
    x = 430,186.70/574.40
  6. Step 6: Final answer
    x = 748.93

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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.