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Finding the Fourth Proportional to 670.39, 924.99 and 421.76

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Solution

The fourth proportional to 670.39, 924.99 and 421.76 is: 581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.39 : 924.99 = 421.76 : x
  2. Step 2: Convert to fraction form
    670.39/924.99 = 421.76/x
  3. Step 3: Cross multiply
    670.39x = 924.99 × 421.76
  4. Step 4: Simplify right side
    670.39x = 390,123.78
  5. Step 5: Solve for x
    x = 390,123.78/670.39
  6. Step 6: Final answer
    x = 581.94

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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.