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Finding the Fourth Proportional to 478.79, 718.31 and 296.40

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Solution

The fourth proportional to 478.79, 718.31 and 296.40 is: 444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.79 : 718.31 = 296.40 : x
  2. Step 2: Convert to fraction form
    478.79/718.31 = 296.40/x
  3. Step 3: Cross multiply
    478.79x = 718.31 × 296.40
  4. Step 4: Simplify right side
    478.79x = 212,907.08
  5. Step 5: Solve for x
    x = 212,907.08/478.79
  6. Step 6: Final answer
    x = 444.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.