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Finding the Fourth Proportional to 929.81, 1,284.77 and 732.21

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Solution

The fourth proportional to 929.81, 1,284.77 and 732.21 is: 1,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.81 : 1,284.77 = 732.21 : x
  2. Step 2: Convert to fraction form
    929.81/1,284.77 = 732.21/x
  3. Step 3: Cross multiply
    929.81x = 1,284.77 × 732.21
  4. Step 4: Simplify right side
    929.81x = 940,717.95
  5. Step 5: Solve for x
    x = 940,717.95/929.81
  6. Step 6: Final answer
    x = 1,011.73

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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.