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Finding the Fourth Proportional to 931.16, 1,284.90 and 581.96

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Solution

The fourth proportional to 931.16, 1,284.90 and 581.96 is: 803.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.16 : 1,284.90 = 581.96 : x
  2. Step 2: Convert to fraction form
    931.16/1,284.90 = 581.96/x
  3. Step 3: Cross multiply
    931.16x = 1,284.90 × 581.96
  4. Step 4: Simplify right side
    931.16x = 747,760.40
  5. Step 5: Solve for x
    x = 747,760.40/931.16
  6. Step 6: Final answer
    x = 803.04

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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.