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Finding the Fourth Proportional to 841.68, 1,160.70 and 643.02

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Solution

The fourth proportional to 841.68, 1,160.70 and 643.02 is: 886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.68 : 1,160.70 = 643.02 : x
  2. Step 2: Convert to fraction form
    841.68/1,160.70 = 643.02/x
  3. Step 3: Cross multiply
    841.68x = 1,160.70 × 643.02
  4. Step 4: Simplify right side
    841.68x = 746,353.31
  5. Step 5: Solve for x
    x = 746,353.31/841.68
  6. Step 6: Final answer
    x = 886.74

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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.