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Finding the Fourth Proportional to 1,552.41, 2,328.61 and 456.77

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Solution

The fourth proportional to 1,552.41, 2,328.61 and 456.77 is: 685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.41 : 2,328.61 = 456.77 : x
  2. Step 2: Convert to fraction form
    1,552.41/2,328.61 = 456.77/x
  3. Step 3: Cross multiply
    1,552.41x = 2,328.61 × 456.77
  4. Step 4: Simplify right side
    1,552.41x = 1,063,638.05
  5. Step 5: Solve for x
    x = 1,063,638.05/1,552.41
  6. Step 6: Final answer
    x = 685.15

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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.