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Finding the Fourth Proportional to 1,097.34, 1,513.80 and 655.08

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Solution

The fourth proportional to 1,097.34, 1,513.80 and 655.08 is: 903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.34 : 1,513.80 = 655.08 : x
  2. Step 2: Convert to fraction form
    1,097.34/1,513.80 = 655.08/x
  3. Step 3: Cross multiply
    1,097.34x = 1,513.80 × 655.08
  4. Step 4: Simplify right side
    1,097.34x = 991,660.10
  5. Step 5: Solve for x
    x = 991,660.10/1,097.34
  6. Step 6: Final answer
    x = 903.69

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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.