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Finding the Fourth Proportional to 874.98, 1,207.53 and 612.90

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Solution

The fourth proportional to 874.98, 1,207.53 and 612.90 is: 845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.98 : 1,207.53 = 612.90 : x
  2. Step 2: Convert to fraction form
    874.98/1,207.53 = 612.90/x
  3. Step 3: Cross multiply
    874.98x = 1,207.53 × 612.90
  4. Step 4: Simplify right side
    874.98x = 740,095.14
  5. Step 5: Solve for x
    x = 740,095.14/874.98
  6. Step 6: Final answer
    x = 845.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.