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Finding the Fourth Proportional to 918.49, 1,267.50 and 525.46

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Solution

The fourth proportional to 918.49, 1,267.50 and 525.46 is: 725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.49 : 1,267.50 = 525.46 : x
  2. Step 2: Convert to fraction form
    918.49/1,267.50 = 525.46/x
  3. Step 3: Cross multiply
    918.49x = 1,267.50 × 525.46
  4. Step 4: Simplify right side
    918.49x = 666,020.55
  5. Step 5: Solve for x
    x = 666,020.55/918.49
  6. Step 6: Final answer
    x = 725.13

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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.