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Finding the Fourth Proportional to 875.50, 1,207.98 and 689.02

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Solution

The fourth proportional to 875.50, 1,207.98 and 689.02 is: 950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.50 : 1,207.98 = 689.02 : x
  2. Step 2: Convert to fraction form
    875.50/1,207.98 = 689.02/x
  3. Step 3: Cross multiply
    875.50x = 1,207.98 × 689.02
  4. Step 4: Simplify right side
    875.50x = 832,322.38
  5. Step 5: Solve for x
    x = 832,322.38/875.50
  6. Step 6: Final answer
    x = 950.68

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1.5x scale

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.