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Finding the Fourth Proportional to 456.97, 681.45 and 431.97

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Solution

The fourth proportional to 456.97, 681.45 and 431.97 is: 644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.97 : 681.45 = 431.97 : x
  2. Step 2: Convert to fraction form
    456.97/681.45 = 431.97/x
  3. Step 3: Cross multiply
    456.97x = 681.45 × 431.97
  4. Step 4: Simplify right side
    456.97x = 294,365.96
  5. Step 5: Solve for x
    x = 294,365.96/456.97
  6. Step 6: Final answer
    x = 644.17

Related Problems

Find fourth proportional to 228.49, 340.73 and 215.99
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.