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Finding the Fourth Proportional to 651.51, 976.80 and 261.59

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Solution

The fourth proportional to 651.51, 976.80 and 261.59 is: 392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.51 : 976.80 = 261.59 : x
  2. Step 2: Convert to fraction form
    651.51/976.80 = 261.59/x
  3. Step 3: Cross multiply
    651.51x = 976.80 × 261.59
  4. Step 4: Simplify right side
    651.51x = 255,521.11
  5. Step 5: Solve for x
    x = 255,521.11/651.51
  6. Step 6: Final answer
    x = 392.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.