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Finding the Fourth Proportional to 654.24, 902.28 and 506.76

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Solution

The fourth proportional to 654.24, 902.28 and 506.76 is: 698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 902.28 = 506.76 : x
  2. Step 2: Convert to fraction form
    654.24/902.28 = 506.76/x
  3. Step 3: Cross multiply
    654.24x = 902.28 × 506.76
  4. Step 4: Simplify right side
    654.24x = 457,239.41
  5. Step 5: Solve for x
    x = 457,239.41/654.24
  6. Step 6: Final answer
    x = 698.89

Related Problems

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Half scale
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Double scale
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1.5x scale

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.