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Finding the Fourth Proportional to 975.17, 1,461.85 and 358.71

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Solution

The fourth proportional to 975.17, 1,461.85 and 358.71 is: 537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.17 : 1,461.85 = 358.71 : x
  2. Step 2: Convert to fraction form
    975.17/1,461.85 = 358.71/x
  3. Step 3: Cross multiply
    975.17x = 1,461.85 × 358.71
  4. Step 4: Simplify right side
    975.17x = 524,382.06
  5. Step 5: Solve for x
    x = 524,382.06/975.17
  6. Step 6: Final answer
    x = 537.73

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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.