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Finding the Fourth Proportional to 913.70, 1,260.89 and 499.70

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Solution

The fourth proportional to 913.70, 1,260.89 and 499.70 is: 689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.70 : 1,260.89 = 499.70 : x
  2. Step 2: Convert to fraction form
    913.70/1,260.89 = 499.70/x
  3. Step 3: Cross multiply
    913.70x = 1,260.89 × 499.70
  4. Step 4: Simplify right side
    913.70x = 630,057.93
  5. Step 5: Solve for x
    x = 630,057.93/913.70
  6. Step 6: Final answer
    x = 689.57

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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.