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Finding the Fourth Proportional to 970.17, 1,445.45 and 923.73

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Solution

The fourth proportional to 970.17, 1,445.45 and 923.73 is: 1,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.17 : 1,445.45 = 923.73 : x
  2. Step 2: Convert to fraction form
    970.17/1,445.45 = 923.73/x
  3. Step 3: Cross multiply
    970.17x = 1,445.45 × 923.73
  4. Step 4: Simplify right side
    970.17x = 1,335,205.53
  5. Step 5: Solve for x
    x = 1,335,205.53/970.17
  6. Step 6: Final answer
    x = 1,376.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.