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Finding the Fourth Proportional to 757.94, 1,045.95 and 459.20

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Solution

The fourth proportional to 757.94, 1,045.95 and 459.20 is: 633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.94 : 1,045.95 = 459.20 : x
  2. Step 2: Convert to fraction form
    757.94/1,045.95 = 459.20/x
  3. Step 3: Cross multiply
    757.94x = 1,045.95 × 459.20
  4. Step 4: Simplify right side
    757.94x = 480,300.24
  5. Step 5: Solve for x
    x = 480,300.24/757.94
  6. Step 6: Final answer
    x = 633.69

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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.