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Finding the Fourth Proportional to 1,540.98, 2,310.15 and 707.77

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Solution

The fourth proportional to 1,540.98, 2,310.15 and 707.77 is: 1,061.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.98 : 2,310.15 = 707.77 : x
  2. Step 2: Convert to fraction form
    1,540.98/2,310.15 = 707.77/x
  3. Step 3: Cross multiply
    1,540.98x = 2,310.15 × 707.77
  4. Step 4: Simplify right side
    1,540.98x = 1,635,060.41
  5. Step 5: Solve for x
    x = 1,635,060.41/1,540.98
  6. Step 6: Final answer
    x = 1,061.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.