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Finding the Fourth Proportional to 700.04, 1,042.25 and 690.34

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Solution

The fourth proportional to 700.04, 1,042.25 and 690.34 is: 1,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.04 : 1,042.25 = 690.34 : x
  2. Step 2: Convert to fraction form
    700.04/1,042.25 = 690.34/x
  3. Step 3: Cross multiply
    700.04x = 1,042.25 × 690.34
  4. Step 4: Simplify right side
    700.04x = 719,506.87
  5. Step 5: Solve for x
    x = 719,506.87/700.04
  6. Step 6: Final answer
    x = 1,027.81

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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.