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Finding the Fourth Proportional to 931.32, 1,285.19 and 511.66

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Solution

The fourth proportional to 931.32, 1,285.19 and 511.66 is: 706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.32 : 1,285.19 = 511.66 : x
  2. Step 2: Convert to fraction form
    931.32/1,285.19 = 511.66/x
  3. Step 3: Cross multiply
    931.32x = 1,285.19 × 511.66
  4. Step 4: Simplify right side
    931.32x = 657,574.54
  5. Step 5: Solve for x
    x = 657,574.54/931.32
  6. Step 6: Final answer
    x = 706.07

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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.