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Finding the Fourth Proportional to 923.70, 1,267.53 and 840.17

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Solution

The fourth proportional to 923.70, 1,267.53 and 840.17 is: 1,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.70 : 1,267.53 = 840.17 : x
  2. Step 2: Convert to fraction form
    923.70/1,267.53 = 840.17/x
  3. Step 3: Cross multiply
    923.70x = 1,267.53 × 840.17
  4. Step 4: Simplify right side
    923.70x = 1,064,930.14
  5. Step 5: Solve for x
    x = 1,064,930.14/923.70
  6. Step 6: Final answer
    x = 1,152.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.