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Finding the Fourth Proportional to 1,527.79, 2,108.23 and 898.35

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Solution

The fourth proportional to 1,527.79, 2,108.23 and 898.35 is: 1,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.79 : 2,108.23 = 898.35 : x
  2. Step 2: Convert to fraction form
    1,527.79/2,108.23 = 898.35/x
  3. Step 3: Cross multiply
    1,527.79x = 2,108.23 × 898.35
  4. Step 4: Simplify right side
    1,527.79x = 1,893,922.22
  5. Step 5: Solve for x
    x = 1,893,922.22/1,527.79
  6. Step 6: Final answer
    x = 1,239.65

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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.