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Finding the Fourth Proportional to 898.07, 1,347.37 and 378.29

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Solution

The fourth proportional to 898.07, 1,347.37 and 378.29 is: 567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.07 : 1,347.37 = 378.29 : x
  2. Step 2: Convert to fraction form
    898.07/1,347.37 = 378.29/x
  3. Step 3: Cross multiply
    898.07x = 1,347.37 × 378.29
  4. Step 4: Simplify right side
    898.07x = 509,699.02
  5. Step 5: Solve for x
    x = 509,699.02/898.07
  6. Step 6: Final answer
    x = 567.55

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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.