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Finding the Fourth Proportional to 646.10, 963.51 and 575.24

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Solution

The fourth proportional to 646.10, 963.51 and 575.24 is: 857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.10 : 963.51 = 575.24 : x
  2. Step 2: Convert to fraction form
    646.10/963.51 = 575.24/x
  3. Step 3: Cross multiply
    646.10x = 963.51 × 575.24
  4. Step 4: Simplify right side
    646.10x = 554,244.67
  5. Step 5: Solve for x
    x = 554,244.67/646.10
  6. Step 6: Final answer
    x = 857.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.