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Finding the Fourth Proportional to 1,901.28, 2,851.88 and 602.76

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Solution

The fourth proportional to 1,901.28, 2,851.88 and 602.76 is: 904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.28 : 2,851.88 = 602.76 : x
  2. Step 2: Convert to fraction form
    1,901.28/2,851.88 = 602.76/x
  3. Step 3: Cross multiply
    1,901.28x = 2,851.88 × 602.76
  4. Step 4: Simplify right side
    1,901.28x = 1,718,999.19
  5. Step 5: Solve for x
    x = 1,718,999.19/1,901.28
  6. Step 6: Final answer
    x = 904.13

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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.