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Finding the Fourth Proportional to 1,374.50, 2,061.21 and 508.22

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Solution

The fourth proportional to 1,374.50, 2,061.21 and 508.22 is: 762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.50 : 2,061.21 = 508.22 : x
  2. Step 2: Convert to fraction form
    1,374.50/2,061.21 = 508.22/x
  3. Step 3: Cross multiply
    1,374.50x = 2,061.21 × 508.22
  4. Step 4: Simplify right side
    1,374.50x = 1,047,548.15
  5. Step 5: Solve for x
    x = 1,047,548.15/1,374.50
  6. Step 6: Final answer
    x = 762.13

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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.