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Finding the Fourth Proportional to 903.84, 1,247.18 and 571.68

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Solution

The fourth proportional to 903.84, 1,247.18 and 571.68 is: 788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.84 : 1,247.18 = 571.68 : x
  2. Step 2: Convert to fraction form
    903.84/1,247.18 = 571.68/x
  3. Step 3: Cross multiply
    903.84x = 1,247.18 × 571.68
  4. Step 4: Simplify right side
    903.84x = 712,987.86
  5. Step 5: Solve for x
    x = 712,987.86/903.84
  6. Step 6: Final answer
    x = 788.84

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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.