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Finding the Fourth Proportional to 665.16, 992.99 and 561.72

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Solution

The fourth proportional to 665.16, 992.99 and 561.72 is: 838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 992.99 = 561.72 : x
  2. Step 2: Convert to fraction form
    665.16/992.99 = 561.72/x
  3. Step 3: Cross multiply
    665.16x = 992.99 × 561.72
  4. Step 4: Simplify right side
    665.16x = 557,779.53
  5. Step 5: Solve for x
    x = 557,779.53/665.16
  6. Step 6: Final answer
    x = 838.56

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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.