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Finding the Fourth Proportional to 903.90, 1,356.06 and 287.60

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Solution

The fourth proportional to 903.90, 1,356.06 and 287.60 is: 431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.90 : 1,356.06 = 287.60 : x
  2. Step 2: Convert to fraction form
    903.90/1,356.06 = 287.60/x
  3. Step 3: Cross multiply
    903.90x = 1,356.06 × 287.60
  4. Step 4: Simplify right side
    903.90x = 390,002.86
  5. Step 5: Solve for x
    x = 390,002.86/903.90
  6. Step 6: Final answer
    x = 431.47

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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.