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Finding the Fourth Proportional to 1,103.69, 1,655.47 and 410.08

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Solution

The fourth proportional to 1,103.69, 1,655.47 and 410.08 is: 615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.69 : 1,655.47 = 410.08 : x
  2. Step 2: Convert to fraction form
    1,103.69/1,655.47 = 410.08/x
  3. Step 3: Cross multiply
    1,103.69x = 1,655.47 × 410.08
  4. Step 4: Simplify right side
    1,103.69x = 678,875.14
  5. Step 5: Solve for x
    x = 678,875.14/1,103.69
  6. Step 6: Final answer
    x = 615.10

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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.