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Finding the Fourth Proportional to 1,528, 2,108.94 and 898.82

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Solution

The fourth proportional to 1,528, 2,108.94 and 898.82 is: 1,240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528 : 2,108.94 = 898.82 : x
  2. Step 2: Convert to fraction form
    1,528/2,108.94 = 898.82/x
  3. Step 3: Cross multiply
    1,528x = 2,108.94 × 898.82
  4. Step 4: Simplify right side
    1,528x = 1,895,557.45
  5. Step 5: Solve for x
    x = 1,895,557.45/1,528
  6. Step 6: Final answer
    x = 1,240.55

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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.