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Finding the Fourth Proportional to 873.42, 1,309.72 and 508.31

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Solution

The fourth proportional to 873.42, 1,309.72 and 508.31 is: 762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.42 : 1,309.72 = 508.31 : x
  2. Step 2: Convert to fraction form
    873.42/1,309.72 = 508.31/x
  3. Step 3: Cross multiply
    873.42x = 1,309.72 × 508.31
  4. Step 4: Simplify right side
    873.42x = 665,743.77
  5. Step 5: Solve for x
    x = 665,743.77/873.42
  6. Step 6: Final answer
    x = 762.23

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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.