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Finding the Fourth Proportional to 841.52, 1,162.68 and 643.08

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Solution

The fourth proportional to 841.52, 1,162.68 and 643.08 is: 888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.52 : 1,162.68 = 643.08 : x
  2. Step 2: Convert to fraction form
    841.52/1,162.68 = 643.08/x
  3. Step 3: Cross multiply
    841.52x = 1,162.68 × 643.08
  4. Step 4: Simplify right side
    841.52x = 747,696.25
  5. Step 5: Solve for x
    x = 747,696.25/841.52
  6. Step 6: Final answer
    x = 888.51

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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.