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Finding the Fourth Proportional to 670.38, 924.87 and 512.85

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Solution

The fourth proportional to 670.38, 924.87 and 512.85 is: 707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.38 : 924.87 = 512.85 : x
  2. Step 2: Convert to fraction form
    670.38/924.87 = 512.85/x
  3. Step 3: Cross multiply
    670.38x = 924.87 × 512.85
  4. Step 4: Simplify right side
    670.38x = 474,319.77
  5. Step 5: Solve for x
    x = 474,319.77/670.38
  6. Step 6: Final answer
    x = 707.54

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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.