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Finding the Fourth Proportional to 904.43, 1,356.13 and 356.39

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Solution

The fourth proportional to 904.43, 1,356.13 and 356.39 is: 534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.43 : 1,356.13 = 356.39 : x
  2. Step 2: Convert to fraction form
    904.43/1,356.13 = 356.39/x
  3. Step 3: Cross multiply
    904.43x = 1,356.13 × 356.39
  4. Step 4: Simplify right side
    904.43x = 483,313.67
  5. Step 5: Solve for x
    x = 483,313.67/904.43
  6. Step 6: Final answer
    x = 534.39

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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.