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Finding the Fourth Proportional to 494.76, 681.18 and 429.24

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Solution

The fourth proportional to 494.76, 681.18 and 429.24 is: 590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.76 : 681.18 = 429.24 : x
  2. Step 2: Convert to fraction form
    494.76/681.18 = 429.24/x
  3. Step 3: Cross multiply
    494.76x = 681.18 × 429.24
  4. Step 4: Simplify right side
    494.76x = 292,389.70
  5. Step 5: Solve for x
    x = 292,389.70/494.76
  6. Step 6: Final answer
    x = 590.97

Related Problems

Find fourth proportional to 247.38, 340.59 and 214.62
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Double scale
Find fourth proportional to 495.76, 682.56 and 430.24
Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.