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Finding the Fourth Proportional to 772.60, 1,066.14 and 710.68

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Solution

The fourth proportional to 772.60, 1,066.14 and 710.68 is: 980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.60 : 1,066.14 = 710.68 : x
  2. Step 2: Convert to fraction form
    772.60/1,066.14 = 710.68/x
  3. Step 3: Cross multiply
    772.60x = 1,066.14 × 710.68
  4. Step 4: Simplify right side
    772.60x = 757,684.38
  5. Step 5: Solve for x
    x = 757,684.38/772.60
  6. Step 6: Final answer
    x = 980.69

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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.