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Finding the Fourth Proportional to 974.79, 1,462.13 and 358.45

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Solution

The fourth proportional to 974.79, 1,462.13 and 358.45 is: 537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.79 : 1,462.13 = 358.45 : x
  2. Step 2: Convert to fraction form
    974.79/1,462.13 = 358.45/x
  3. Step 3: Cross multiply
    974.79x = 1,462.13 × 358.45
  4. Step 4: Simplify right side
    974.79x = 524,097.74
  5. Step 5: Solve for x
    x = 524,097.74/974.79
  6. Step 6: Final answer
    x = 537.65

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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.