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Finding the Fourth Proportional to 972.18, 1,341.17 and 705.94

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Solution

The fourth proportional to 972.18, 1,341.17 and 705.94 is: 973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.18 : 1,341.17 = 705.94 : x
  2. Step 2: Convert to fraction form
    972.18/1,341.17 = 705.94/x
  3. Step 3: Cross multiply
    972.18x = 1,341.17 × 705.94
  4. Step 4: Simplify right side
    972.18x = 946,781.31
  5. Step 5: Solve for x
    x = 946,781.31/972.18
  6. Step 6: Final answer
    x = 973.87

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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.