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Finding the Fourth Proportional to 931.01, 1,284.76 and 511.36

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Solution

The fourth proportional to 931.01, 1,284.76 and 511.36 is: 705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.01 : 1,284.76 = 511.36 : x
  2. Step 2: Convert to fraction form
    931.01/1,284.76 = 511.36/x
  3. Step 3: Cross multiply
    931.01x = 1,284.76 × 511.36
  4. Step 4: Simplify right side
    931.01x = 656,974.87
  5. Step 5: Solve for x
    x = 656,974.87/931.01
  6. Step 6: Final answer
    x = 705.66

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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.