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Finding the Fourth Proportional to 1,103.47, 1,655.29 and 373.11

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Solution

The fourth proportional to 1,103.47, 1,655.29 and 373.11 is: 559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.47 : 1,655.29 = 373.11 : x
  2. Step 2: Convert to fraction form
    1,103.47/1,655.29 = 373.11/x
  3. Step 3: Cross multiply
    1,103.47x = 1,655.29 × 373.11
  4. Step 4: Simplify right side
    1,103.47x = 617,597.41
  5. Step 5: Solve for x
    x = 617,597.41/1,103.47
  6. Step 6: Final answer
    x = 559.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.