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Finding the Fourth Proportional to 918.40, 1,264.80 and 898.24

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Solution

The fourth proportional to 918.40, 1,264.80 and 898.24 is: 1,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.40 : 1,264.80 = 898.24 : x
  2. Step 2: Convert to fraction form
    918.40/1,264.80 = 898.24/x
  3. Step 3: Cross multiply
    918.40x = 1,264.80 × 898.24
  4. Step 4: Simplify right side
    918.40x = 1,136,093.95
  5. Step 5: Solve for x
    x = 1,136,093.95/918.40
  6. Step 6: Final answer
    x = 1,237.04

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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.