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Finding the Fourth Proportional to 730.71, 1,006.71 and 696.15

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Solution

The fourth proportional to 730.71, 1,006.71 and 696.15 is: 959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.71 : 1,006.71 = 696.15 : x
  2. Step 2: Convert to fraction form
    730.71/1,006.71 = 696.15/x
  3. Step 3: Cross multiply
    730.71x = 1,006.71 × 696.15
  4. Step 4: Simplify right side
    730.71x = 700,821.17
  5. Step 5: Solve for x
    x = 700,821.17/730.71
  6. Step 6: Final answer
    x = 959.10

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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.