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Finding the Fourth Proportional to 971.70, 1,458.23 and 698.02

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Solution

The fourth proportional to 971.70, 1,458.23 and 698.02 is: 1,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.70 : 1,458.23 = 698.02 : x
  2. Step 2: Convert to fraction form
    971.70/1,458.23 = 698.02/x
  3. Step 3: Cross multiply
    971.70x = 1,458.23 × 698.02
  4. Step 4: Simplify right side
    971.70x = 1,017,873.70
  5. Step 5: Solve for x
    x = 1,017,873.70/971.70
  6. Step 6: Final answer
    x = 1,047.52

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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.