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Finding the Fourth Proportional to 540.69, 808.74 and 456.18

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Solution

The fourth proportional to 540.69, 808.74 and 456.18 is: 682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.69 : 808.74 = 456.18 : x
  2. Step 2: Convert to fraction form
    540.69/808.74 = 456.18/x
  3. Step 3: Cross multiply
    540.69x = 808.74 × 456.18
  4. Step 4: Simplify right side
    540.69x = 368,931.01
  5. Step 5: Solve for x
    x = 368,931.01/540.69
  6. Step 6: Final answer
    x = 682.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.