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Finding the Fourth Proportional to 664.90, 992.73 and 560.10

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Solution

The fourth proportional to 664.90, 992.73 and 560.10 is: 836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.90 : 992.73 = 560.10 : x
  2. Step 2: Convert to fraction form
    664.90/992.73 = 560.10/x
  3. Step 3: Cross multiply
    664.90x = 992.73 × 560.10
  4. Step 4: Simplify right side
    664.90x = 556,028.07
  5. Step 5: Solve for x
    x = 556,028.07/664.90
  6. Step 6: Final answer
    x = 836.26

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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.