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Finding the Fourth Proportional to 862.86, 1,293.48 and 429.54

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Solution

The fourth proportional to 862.86, 1,293.48 and 429.54 is: 643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.86 : 1,293.48 = 429.54 : x
  2. Step 2: Convert to fraction form
    862.86/1,293.48 = 429.54/x
  3. Step 3: Cross multiply
    862.86x = 1,293.48 × 429.54
  4. Step 4: Simplify right side
    862.86x = 555,601.40
  5. Step 5: Solve for x
    x = 555,601.40/862.86
  6. Step 6: Final answer
    x = 643.91

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1.5x scale

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.