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Finding the Fourth Proportional to 929.39, 1,281.34 and 772.16

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Solution

The fourth proportional to 929.39, 1,281.34 and 772.16 is: 1,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.39 : 1,281.34 = 772.16 : x
  2. Step 2: Convert to fraction form
    929.39/1,281.34 = 772.16/x
  3. Step 3: Cross multiply
    929.39x = 1,281.34 × 772.16
  4. Step 4: Simplify right side
    929.39x = 989,399.49
  5. Step 5: Solve for x
    x = 989,399.49/929.39
  6. Step 6: Final answer
    x = 1,064.57

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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.