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Finding the Fourth Proportional to 698.06, 1,045.42 and 583.25

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Solution

The fourth proportional to 698.06, 1,045.42 and 583.25 is: 873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.06 : 1,045.42 = 583.25 : x
  2. Step 2: Convert to fraction form
    698.06/1,045.42 = 583.25/x
  3. Step 3: Cross multiply
    698.06x = 1,045.42 × 583.25
  4. Step 4: Simplify right side
    698.06x = 609,734.53
  5. Step 5: Solve for x
    x = 609,734.53/698.06
  6. Step 6: Final answer
    x = 873.47

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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.