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Finding the Fourth Proportional to 948.34, 1,415.32 and 923.74

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Solution

The fourth proportional to 948.34, 1,415.32 and 923.74 is: 1,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.34 : 1,415.32 = 923.74 : x
  2. Step 2: Convert to fraction form
    948.34/1,415.32 = 923.74/x
  3. Step 3: Cross multiply
    948.34x = 1,415.32 × 923.74
  4. Step 4: Simplify right side
    948.34x = 1,307,387.05
  5. Step 5: Solve for x
    x = 1,307,387.05/948.34
  6. Step 6: Final answer
    x = 1,378.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.