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Finding the Fourth Proportional to 953.97, 1,430.74 and 426.93

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Solution

The fourth proportional to 953.97, 1,430.74 and 426.93 is: 640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.97 : 1,430.74 = 426.93 : x
  2. Step 2: Convert to fraction form
    953.97/1,430.74 = 426.93/x
  3. Step 3: Cross multiply
    953.97x = 1,430.74 × 426.93
  4. Step 4: Simplify right side
    953.97x = 610,825.83
  5. Step 5: Solve for x
    x = 610,825.83/953.97
  6. Step 6: Final answer
    x = 640.30

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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.