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Finding the Fourth Proportional to 1,008.18, 1,504.42 and 916.14

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Solution

The fourth proportional to 1,008.18, 1,504.42 and 916.14 is: 1,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.18 : 1,504.42 = 916.14 : x
  2. Step 2: Convert to fraction form
    1,008.18/1,504.42 = 916.14/x
  3. Step 3: Cross multiply
    1,008.18x = 1,504.42 × 916.14
  4. Step 4: Simplify right side
    1,008.18x = 1,378,259.34
  5. Step 5: Solve for x
    x = 1,378,259.34/1,008.18
  6. Step 6: Final answer
    x = 1,367.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.