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Finding the Fourth Proportional to 904.44, 1,356.68 and 288.15

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Solution

The fourth proportional to 904.44, 1,356.68 and 288.15 is: 432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.44 : 1,356.68 = 288.15 : x
  2. Step 2: Convert to fraction form
    904.44/1,356.68 = 288.15/x
  3. Step 3: Cross multiply
    904.44x = 1,356.68 × 288.15
  4. Step 4: Simplify right side
    904.44x = 390,925.90
  5. Step 5: Solve for x
    x = 390,925.90/904.44
  6. Step 6: Final answer
    x = 432.23

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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.