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Finding the Fourth Proportional to 903.89, 1,356.19 and 538.47

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Solution

The fourth proportional to 903.89, 1,356.19 and 538.47 is: 807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.89 : 1,356.19 = 538.47 : x
  2. Step 2: Convert to fraction form
    903.89/1,356.19 = 538.47/x
  3. Step 3: Cross multiply
    903.89x = 1,356.19 × 538.47
  4. Step 4: Simplify right side
    903.89x = 730,266.28
  5. Step 5: Solve for x
    x = 730,266.28/903.89
  6. Step 6: Final answer
    x = 807.91

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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.