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Finding the Fourth Proportional to 830.10, 1,144.79 and 690.68

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Solution

The fourth proportional to 830.10, 1,144.79 and 690.68 is: 952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.10 : 1,144.79 = 690.68 : x
  2. Step 2: Convert to fraction form
    830.10/1,144.79 = 690.68/x
  3. Step 3: Cross multiply
    830.10x = 1,144.79 × 690.68
  4. Step 4: Simplify right side
    830.10x = 790,685.28
  5. Step 5: Solve for x
    x = 790,685.28/830.10
  6. Step 6: Final answer
    x = 952.52

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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.