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Finding the Fourth Proportional to 903.48, 1,353.33 and 577.19

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Solution

The fourth proportional to 903.48, 1,353.33 and 577.19 is: 864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.48 : 1,353.33 = 577.19 : x
  2. Step 2: Convert to fraction form
    903.48/1,353.33 = 577.19/x
  3. Step 3: Cross multiply
    903.48x = 1,353.33 × 577.19
  4. Step 4: Simplify right side
    903.48x = 781,128.54
  5. Step 5: Solve for x
    x = 781,128.54/903.48
  6. Step 6: Final answer
    x = 864.58

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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.