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Finding the Fourth Proportional to 810.64, 1,215.90 and 262.77

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Solution

The fourth proportional to 810.64, 1,215.90 and 262.77 is: 394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.64 : 1,215.90 = 262.77 : x
  2. Step 2: Convert to fraction form
    810.64/1,215.90 = 262.77/x
  3. Step 3: Cross multiply
    810.64x = 1,215.90 × 262.77
  4. Step 4: Simplify right side
    810.64x = 319,502.04
  5. Step 5: Solve for x
    x = 319,502.04/810.64
  6. Step 6: Final answer
    x = 394.14

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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.