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Finding the Fourth Proportional to 1,053.67, 1,588.42 and 908.55

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Solution

The fourth proportional to 1,053.67, 1,588.42 and 908.55 is: 1,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.67 : 1,588.42 = 908.55 : x
  2. Step 2: Convert to fraction form
    1,053.67/1,588.42 = 908.55/x
  3. Step 3: Cross multiply
    1,053.67x = 1,588.42 × 908.55
  4. Step 4: Simplify right side
    1,053.67x = 1,443,158.99
  5. Step 5: Solve for x
    x = 1,443,158.99/1,053.67
  6. Step 6: Final answer
    x = 1,369.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.