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Finding the Fourth Proportional to 542.30, 812.55 and 509.90

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Solution

The fourth proportional to 542.30, 812.55 and 509.90 is: 764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.30 : 812.55 = 509.90 : x
  2. Step 2: Convert to fraction form
    542.30/812.55 = 509.90/x
  3. Step 3: Cross multiply
    542.30x = 812.55 × 509.90
  4. Step 4: Simplify right side
    542.30x = 414,319.25
  5. Step 5: Solve for x
    x = 414,319.25/542.30
  6. Step 6: Final answer
    x = 764.00

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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.