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Finding the Fourth Proportional to 574.80, 790.48 and 501.16

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Solution

The fourth proportional to 574.80, 790.48 and 501.16 is: 689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 790.48 = 501.16 : x
  2. Step 2: Convert to fraction form
    574.80/790.48 = 501.16/x
  3. Step 3: Cross multiply
    574.80x = 790.48 × 501.16
  4. Step 4: Simplify right side
    574.80x = 396,156.96
  5. Step 5: Solve for x
    x = 396,156.96/574.80
  6. Step 6: Final answer
    x = 689.21

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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.