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Finding the Fourth Proportional to 698.14, 1,046.40 and 561.34

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Solution

The fourth proportional to 698.14, 1,046.40 and 561.34 is: 841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.14 : 1,046.40 = 561.34 : x
  2. Step 2: Convert to fraction form
    698.14/1,046.40 = 561.34/x
  3. Step 3: Cross multiply
    698.14x = 1,046.40 × 561.34
  4. Step 4: Simplify right side
    698.14x = 587,386.18
  5. Step 5: Solve for x
    x = 587,386.18/698.14
  6. Step 6: Final answer
    x = 841.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.