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Finding the Fourth Proportional to 540.30, 808.65 and 497.10

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Solution

The fourth proportional to 540.30, 808.65 and 497.10 is: 743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.30 : 808.65 = 497.10 : x
  2. Step 2: Convert to fraction form
    540.30/808.65 = 497.10/x
  3. Step 3: Cross multiply
    540.30x = 808.65 × 497.10
  4. Step 4: Simplify right side
    540.30x = 401,979.92
  5. Step 5: Solve for x
    x = 401,979.92/540.30
  6. Step 6: Final answer
    x = 743.99

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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.