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Finding the Fourth Proportional to 903.66, 1,246.38 and 571.80

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Solution

The fourth proportional to 903.66, 1,246.38 and 571.80 is: 788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.66 : 1,246.38 = 571.80 : x
  2. Step 2: Convert to fraction form
    903.66/1,246.38 = 571.80/x
  3. Step 3: Cross multiply
    903.66x = 1,246.38 × 571.80
  4. Step 4: Simplify right side
    903.66x = 712,680.08
  5. Step 5: Solve for x
    x = 712,680.08/903.66
  6. Step 6: Final answer
    x = 788.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.