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Finding the Fourth Proportional to 931.10, 1,284.54 and 576.77

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Solution

The fourth proportional to 931.10, 1,284.54 and 576.77 is: 795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.10 : 1,284.54 = 576.77 : x
  2. Step 2: Convert to fraction form
    931.10/1,284.54 = 576.77/x
  3. Step 3: Cross multiply
    931.10x = 1,284.54 × 576.77
  4. Step 4: Simplify right side
    931.10x = 740,884.14
  5. Step 5: Solve for x
    x = 740,884.14/931.10
  6. Step 6: Final answer
    x = 795.71

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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.