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Finding the Fourth Proportional to 918.70, 1,283.75 and 918.70

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Solution

The fourth proportional to 918.70, 1,283.75 and 918.70 is: 1,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.70 : 1,283.75 = 918.70 : x
  2. Step 2: Convert to fraction form
    918.70/1,283.75 = 918.70/x
  3. Step 3: Cross multiply
    918.70x = 1,283.75 × 918.70
  4. Step 4: Simplify right side
    918.70x = 1,179,381.13
  5. Step 5: Solve for x
    x = 1,179,381.13/918.70
  6. Step 6: Final answer
    x = 1,283.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.