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Finding the Fourth Proportional to 730.79, 1,007.88 and 699.20

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Solution

The fourth proportional to 730.79, 1,007.88 and 699.20 is: 964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.79 : 1,007.88 = 699.20 : x
  2. Step 2: Convert to fraction form
    730.79/1,007.88 = 699.20/x
  3. Step 3: Cross multiply
    730.79x = 1,007.88 × 699.20
  4. Step 4: Simplify right side
    730.79x = 704,704.66
  5. Step 5: Solve for x
    x = 704,704.66/730.79
  6. Step 6: Final answer
    x = 964.31

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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.