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Finding the Fourth Proportional to 758.94, 1,047.12 and 464.28

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Solution

The fourth proportional to 758.94, 1,047.12 and 464.28 is: 640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.94 : 1,047.12 = 464.28 : x
  2. Step 2: Convert to fraction form
    758.94/1,047.12 = 464.28/x
  3. Step 3: Cross multiply
    758.94x = 1,047.12 × 464.28
  4. Step 4: Simplify right side
    758.94x = 486,156.87
  5. Step 5: Solve for x
    x = 486,156.87/758.94
  6. Step 6: Final answer
    x = 640.57

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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.