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Finding the Fourth Proportional to 703.04, 1,048.35 and 696.90

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Solution

The fourth proportional to 703.04, 1,048.35 and 696.90 is: 1,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.04 : 1,048.35 = 696.90 : x
  2. Step 2: Convert to fraction form
    703.04/1,048.35 = 696.90/x
  3. Step 3: Cross multiply
    703.04x = 1,048.35 × 696.90
  4. Step 4: Simplify right side
    703.04x = 730,591.63
  5. Step 5: Solve for x
    x = 730,591.63/703.04
  6. Step 6: Final answer
    x = 1,039.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.