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Finding the Fourth Proportional to 830.16, 1,143.76 and 696.88

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Solution

The fourth proportional to 830.16, 1,143.76 and 696.88 is: 960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,143.76 = 696.88 : x
  2. Step 2: Convert to fraction form
    830.16/1,143.76 = 696.88/x
  3. Step 3: Cross multiply
    830.16x = 1,143.76 × 696.88
  4. Step 4: Simplify right side
    830.16x = 797,063.47
  5. Step 5: Solve for x
    x = 797,063.47/830.16
  6. Step 6: Final answer
    x = 960.13

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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.