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Finding the Fourth Proportional to 670.80, 924.68 and 463.44

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Solution

The fourth proportional to 670.80, 924.68 and 463.44 is: 638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.80 : 924.68 = 463.44 : x
  2. Step 2: Convert to fraction form
    670.80/924.68 = 463.44/x
  3. Step 3: Cross multiply
    670.80x = 924.68 × 463.44
  4. Step 4: Simplify right side
    670.80x = 428,533.70
  5. Step 5: Solve for x
    x = 428,533.70/670.80
  6. Step 6: Final answer
    x = 638.84

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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.