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Finding the Fourth Proportional to 1,302.47, 1,953.67 and 608.73

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Solution

The fourth proportional to 1,302.47, 1,953.67 and 608.73 is: 913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.47 : 1,953.67 = 608.73 : x
  2. Step 2: Convert to fraction form
    1,302.47/1,953.67 = 608.73/x
  3. Step 3: Cross multiply
    1,302.47x = 1,953.67 × 608.73
  4. Step 4: Simplify right side
    1,302.47x = 1,189,257.54
  5. Step 5: Solve for x
    x = 1,189,257.54/1,302.47
  6. Step 6: Final answer
    x = 913.08

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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.