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Finding the Fourth Proportional to 918.03, 1,266.93 and 525.12

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Solution

The fourth proportional to 918.03, 1,266.93 and 525.12 is: 724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.03 : 1,266.93 = 525.12 : x
  2. Step 2: Convert to fraction form
    918.03/1,266.93 = 525.12/x
  3. Step 3: Cross multiply
    918.03x = 1,266.93 × 525.12
  4. Step 4: Simplify right side
    918.03x = 665,290.28
  5. Step 5: Solve for x
    x = 665,290.28/918.03
  6. Step 6: Final answer
    x = 724.69

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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.