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Finding the Fourth Proportional to 918.59, 1,266.57 and 630.45

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Solution

The fourth proportional to 918.59, 1,266.57 and 630.45 is: 869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.59 : 1,266.57 = 630.45 : x
  2. Step 2: Convert to fraction form
    918.59/1,266.57 = 630.45/x
  3. Step 3: Cross multiply
    918.59x = 1,266.57 × 630.45
  4. Step 4: Simplify right side
    918.59x = 798,509.06
  5. Step 5: Solve for x
    x = 798,509.06/918.59
  6. Step 6: Final answer
    x = 869.28

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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.