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Finding the Fourth Proportional to 1,169.10, 1,613.40 and 697.20

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Solution

The fourth proportional to 1,169.10, 1,613.40 and 697.20 is: 962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.10 : 1,613.40 = 697.20 : x
  2. Step 2: Convert to fraction form
    1,169.10/1,613.40 = 697.20/x
  3. Step 3: Cross multiply
    1,169.10x = 1,613.40 × 697.20
  4. Step 4: Simplify right side
    1,169.10x = 1,124,862.48
  5. Step 5: Solve for x
    x = 1,124,862.48/1,169.10
  6. Step 6: Final answer
    x = 962.16

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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.