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Finding the Fourth Proportional to 974.95, 1,462.43 and 358.66

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Solution

The fourth proportional to 974.95, 1,462.43 and 358.66 is: 537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.95 : 1,462.43 = 358.66 : x
  2. Step 2: Convert to fraction form
    974.95/1,462.43 = 358.66/x
  3. Step 3: Cross multiply
    974.95x = 1,462.43 × 358.66
  4. Step 4: Simplify right side
    974.95x = 524,515.14
  5. Step 5: Solve for x
    x = 524,515.14/974.95
  6. Step 6: Final answer
    x = 537.99

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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.