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Finding the Fourth Proportional to 670.72, 924.24 and 463.36

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Solution

The fourth proportional to 670.72, 924.24 and 463.36 is: 638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.72 : 924.24 = 463.36 : x
  2. Step 2: Convert to fraction form
    670.72/924.24 = 463.36/x
  3. Step 3: Cross multiply
    670.72x = 924.24 × 463.36
  4. Step 4: Simplify right side
    670.72x = 428,255.85
  5. Step 5: Solve for x
    x = 428,255.85/670.72
  6. Step 6: Final answer
    x = 638.50

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.