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Finding the Fourth Proportional to 918.09, 1,266.95 and 508.82

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Solution

The fourth proportional to 918.09, 1,266.95 and 508.82 is: 702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.09 : 1,266.95 = 508.82 : x
  2. Step 2: Convert to fraction form
    918.09/1,266.95 = 508.82/x
  3. Step 3: Cross multiply
    918.09x = 1,266.95 × 508.82
  4. Step 4: Simplify right side
    918.09x = 644,644.44
  5. Step 5: Solve for x
    x = 644,644.44/918.09
  6. Step 6: Final answer
    x = 702.16

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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.