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Finding the Fourth Proportional to 970.31, 1,454.70 and 558.97

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Solution

The fourth proportional to 970.31, 1,454.70 and 558.97 is: 838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.31 : 1,454.70 = 558.97 : x
  2. Step 2: Convert to fraction form
    970.31/1,454.70 = 558.97/x
  3. Step 3: Cross multiply
    970.31x = 1,454.70 × 558.97
  4. Step 4: Simplify right side
    970.31x = 813,126.65
  5. Step 5: Solve for x
    x = 813,126.65/970.31
  6. Step 6: Final answer
    x = 838.01

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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.