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Finding the Fourth Proportional to 693.06, 1,035.10 and 627.93

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Solution

The fourth proportional to 693.06, 1,035.10 and 627.93 is: 937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.06 : 1,035.10 = 627.93 : x
  2. Step 2: Convert to fraction form
    693.06/1,035.10 = 627.93/x
  3. Step 3: Cross multiply
    693.06x = 1,035.10 × 627.93
  4. Step 4: Simplify right side
    693.06x = 649,970.34
  5. Step 5: Solve for x
    x = 649,970.34/693.06
  6. Step 6: Final answer
    x = 937.83

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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.