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Finding the Fourth Proportional to 972.09, 1,341.50 and 598.95

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Solution

The fourth proportional to 972.09, 1,341.50 and 598.95 is: 826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.09 : 1,341.50 = 598.95 : x
  2. Step 2: Convert to fraction form
    972.09/1,341.50 = 598.95/x
  3. Step 3: Cross multiply
    972.09x = 1,341.50 × 598.95
  4. Step 4: Simplify right side
    972.09x = 803,488.43
  5. Step 5: Solve for x
    x = 803,488.43/972.09
  6. Step 6: Final answer
    x = 826.56

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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.