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Finding the Fourth Proportional to 698.10, 1,045.62 and 574.98

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Solution

The fourth proportional to 698.10, 1,045.62 and 574.98 is: 861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.10 : 1,045.62 = 574.98 : x
  2. Step 2: Convert to fraction form
    698.10/1,045.62 = 574.98/x
  3. Step 3: Cross multiply
    698.10x = 1,045.62 × 574.98
  4. Step 4: Simplify right side
    698.10x = 601,210.59
  5. Step 5: Solve for x
    x = 601,210.59/698.10
  6. Step 6: Final answer
    x = 861.21

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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.