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Finding the Fourth Proportional to 908.77, 1,254.09 and 510.45

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Solution

The fourth proportional to 908.77, 1,254.09 and 510.45 is: 704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.77 : 1,254.09 = 510.45 : x
  2. Step 2: Convert to fraction form
    908.77/1,254.09 = 510.45/x
  3. Step 3: Cross multiply
    908.77x = 1,254.09 × 510.45
  4. Step 4: Simplify right side
    908.77x = 640,142.69
  5. Step 5: Solve for x
    x = 640,142.69/908.77
  6. Step 6: Final answer
    x = 704.40

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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.