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Finding the Fourth Proportional to 1,600.34, 2,398.86 and 612.92

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Solution

The fourth proportional to 1,600.34, 2,398.86 and 612.92 is: 918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.34 : 2,398.86 = 612.92 : x
  2. Step 2: Convert to fraction form
    1,600.34/2,398.86 = 612.92/x
  3. Step 3: Cross multiply
    1,600.34x = 2,398.86 × 612.92
  4. Step 4: Simplify right side
    1,600.34x = 1,470,294.98
  5. Step 5: Solve for x
    x = 1,470,294.98/1,600.34
  6. Step 6: Final answer
    x = 918.74

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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.