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Finding the Fourth Proportional to 1,543.83, 2,316.06 and 448.17

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Solution

The fourth proportional to 1,543.83, 2,316.06 and 448.17 is: 672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.83 : 2,316.06 = 448.17 : x
  2. Step 2: Convert to fraction form
    1,543.83/2,316.06 = 448.17/x
  3. Step 3: Cross multiply
    1,543.83x = 2,316.06 × 448.17
  4. Step 4: Simplify right side
    1,543.83x = 1,037,988.61
  5. Step 5: Solve for x
    x = 1,037,988.61/1,543.83
  6. Step 6: Final answer
    x = 672.35

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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.