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Finding the Fourth Proportional to 630.25, 870.14 and 564.64

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Solution

The fourth proportional to 630.25, 870.14 and 564.64 is: 779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.25 : 870.14 = 564.64 : x
  2. Step 2: Convert to fraction form
    630.25/870.14 = 564.64/x
  3. Step 3: Cross multiply
    630.25x = 870.14 × 564.64
  4. Step 4: Simplify right side
    630.25x = 491,315.09
  5. Step 5: Solve for x
    x = 491,315.09/630.25
  6. Step 6: Final answer
    x = 779.56

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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.