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Finding the Fourth Proportional to 876.34, 1,209.63 and 698.68

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Solution

The fourth proportional to 876.34, 1,209.63 and 698.68 is: 964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.34 : 1,209.63 = 698.68 : x
  2. Step 2: Convert to fraction form
    876.34/1,209.63 = 698.68/x
  3. Step 3: Cross multiply
    876.34x = 1,209.63 × 698.68
  4. Step 4: Simplify right side
    876.34x = 845,144.29
  5. Step 5: Solve for x
    x = 845,144.29/876.34
  6. Step 6: Final answer
    x = 964.40

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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.