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Finding the Fourth Proportional to 913.42, 1,259.31 and 650.98

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Solution

The fourth proportional to 913.42, 1,259.31 and 650.98 is: 897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.42 : 1,259.31 = 650.98 : x
  2. Step 2: Convert to fraction form
    913.42/1,259.31 = 650.98/x
  3. Step 3: Cross multiply
    913.42x = 1,259.31 × 650.98
  4. Step 4: Simplify right side
    913.42x = 819,785.62
  5. Step 5: Solve for x
    x = 819,785.62/913.42
  6. Step 6: Final answer
    x = 897.49

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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.