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Finding the Fourth Proportional to 923.88, 1,386.42 and 346.75

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Solution

The fourth proportional to 923.88, 1,386.42 and 346.75 is: 520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.88 : 1,386.42 = 346.75 : x
  2. Step 2: Convert to fraction form
    923.88/1,386.42 = 346.75/x
  3. Step 3: Cross multiply
    923.88x = 1,386.42 × 346.75
  4. Step 4: Simplify right side
    923.88x = 480,741.14
  5. Step 5: Solve for x
    x = 480,741.14/923.88
  6. Step 6: Final answer
    x = 520.35

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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.