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Finding the Fourth Proportional to 748.23, 1,030.99 and 696.32

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Solution

The fourth proportional to 748.23, 1,030.99 and 696.32 is: 959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.23 : 1,030.99 = 696.32 : x
  2. Step 2: Convert to fraction form
    748.23/1,030.99 = 696.32/x
  3. Step 3: Cross multiply
    748.23x = 1,030.99 × 696.32
  4. Step 4: Simplify right side
    748.23x = 717,898.96
  5. Step 5: Solve for x
    x = 717,898.96/748.23
  6. Step 6: Final answer
    x = 959.46

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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.