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Finding the Fourth Proportional to 542.99, 809.31 and 512.24

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Solution

The fourth proportional to 542.99, 809.31 and 512.24 is: 763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.99 : 809.31 = 512.24 : x
  2. Step 2: Convert to fraction form
    542.99/809.31 = 512.24/x
  3. Step 3: Cross multiply
    542.99x = 809.31 × 512.24
  4. Step 4: Simplify right side
    542.99x = 414,556.91
  5. Step 5: Solve for x
    x = 414,556.91/542.99
  6. Step 6: Final answer
    x = 763.48

Related Problems

Find fourth proportional to 271.49, 404.66 and 256.12
Half scale
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Double scale
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Similar ratio
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1.5x scale

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.