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Finding the Fourth Proportional to 1,095.90, 1,643.60 and 315.89

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Solution

The fourth proportional to 1,095.90, 1,643.60 and 315.89 is: 473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.90 : 1,643.60 = 315.89 : x
  2. Step 2: Convert to fraction form
    1,095.90/1,643.60 = 315.89/x
  3. Step 3: Cross multiply
    1,095.90x = 1,643.60 × 315.89
  4. Step 4: Simplify right side
    1,095.90x = 519,196.80
  5. Step 5: Solve for x
    x = 519,196.80/1,095.90
  6. Step 6: Final answer
    x = 473.76

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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.