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Finding the Fourth Proportional to 931.83, 1,284.90 and 732.68

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Solution

The fourth proportional to 931.83, 1,284.90 and 732.68 is: 1,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.83 : 1,284.90 = 732.68 : x
  2. Step 2: Convert to fraction form
    931.83/1,284.90 = 732.68/x
  3. Step 3: Cross multiply
    931.83x = 1,284.90 × 732.68
  4. Step 4: Simplify right side
    931.83x = 941,424.69
  5. Step 5: Solve for x
    x = 941,424.69/931.83
  6. Step 6: Final answer
    x = 1,010.30

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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.