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Finding the Fourth Proportional to 918.55, 1,266.24 and 652.60

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Solution

The fourth proportional to 918.55, 1,266.24 and 652.60 is: 899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.55 : 1,266.24 = 652.60 : x
  2. Step 2: Convert to fraction form
    918.55/1,266.24 = 652.60/x
  3. Step 3: Cross multiply
    918.55x = 1,266.24 × 652.60
  4. Step 4: Simplify right side
    918.55x = 826,348.22
  5. Step 5: Solve for x
    x = 826,348.22/918.55
  6. Step 6: Final answer
    x = 899.62

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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.