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Finding the Fourth Proportional to 1,534.61, 2,302.70 and 657.69

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Solution

The fourth proportional to 1,534.61, 2,302.70 and 657.69 is: 986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.61 : 2,302.70 = 657.69 : x
  2. Step 2: Convert to fraction form
    1,534.61/2,302.70 = 657.69/x
  3. Step 3: Cross multiply
    1,534.61x = 2,302.70 × 657.69
  4. Step 4: Simplify right side
    1,534.61x = 1,514,450.84
  5. Step 5: Solve for x
    x = 1,514,450.84/1,534.61
  6. Step 6: Final answer
    x = 986.86

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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.