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Finding the Fourth Proportional to 1,374.19, 2,061.48 and 508.42

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Solution

The fourth proportional to 1,374.19, 2,061.48 and 508.42 is: 762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.19 : 2,061.48 = 508.42 : x
  2. Step 2: Convert to fraction form
    1,374.19/2,061.48 = 508.42/x
  3. Step 3: Cross multiply
    1,374.19x = 2,061.48 × 508.42
  4. Step 4: Simplify right side
    1,374.19x = 1,048,097.66
  5. Step 5: Solve for x
    x = 1,048,097.66/1,374.19
  6. Step 6: Final answer
    x = 762.70

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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.