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Finding the Fourth Proportional to 670.31, 924.96 and 386.71

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Solution

The fourth proportional to 670.31, 924.96 and 386.71 is: 533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.31 : 924.96 = 386.71 : x
  2. Step 2: Convert to fraction form
    670.31/924.96 = 386.71/x
  3. Step 3: Cross multiply
    670.31x = 924.96 × 386.71
  4. Step 4: Simplify right side
    670.31x = 357,693.89
  5. Step 5: Solve for x
    x = 357,693.89/670.31
  6. Step 6: Final answer
    x = 533.62

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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.