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Finding the Fourth Proportional to 1,528.04, 2,108 and 898.60

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Solution

The fourth proportional to 1,528.04, 2,108 and 898.60 is: 1,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.04 : 2,108 = 898.60 : x
  2. Step 2: Convert to fraction form
    1,528.04/2,108 = 898.60/x
  3. Step 3: Cross multiply
    1,528.04x = 2,108 × 898.60
  4. Step 4: Simplify right side
    1,528.04x = 1,894,248.80
  5. Step 5: Solve for x
    x = 1,894,248.80/1,528.04
  6. Step 6: Final answer
    x = 1,239.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.