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Finding the Fourth Proportional to 540.12, 805.80 and 462.18

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Solution

The fourth proportional to 540.12, 805.80 and 462.18 is: 689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.12 : 805.80 = 462.18 : x
  2. Step 2: Convert to fraction form
    540.12/805.80 = 462.18/x
  3. Step 3: Cross multiply
    540.12x = 805.80 × 462.18
  4. Step 4: Simplify right side
    540.12x = 372,424.64
  5. Step 5: Solve for x
    x = 372,424.64/540.12
  6. Step 6: Final answer
    x = 689.52

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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.