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Finding the Fourth Proportional to 908.70, 1,254.08 and 510.40

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Solution

The fourth proportional to 908.70, 1,254.08 and 510.40 is: 704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.70 : 1,254.08 = 510.40 : x
  2. Step 2: Convert to fraction form
    908.70/1,254.08 = 510.40/x
  3. Step 3: Cross multiply
    908.70x = 1,254.08 × 510.40
  4. Step 4: Simplify right side
    908.70x = 640,082.43
  5. Step 5: Solve for x
    x = 640,082.43/908.70
  6. Step 6: Final answer
    x = 704.39

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1.5x scale

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.