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Finding the Fourth Proportional to 926.10, 1,388.67 and 341.07

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Solution

The fourth proportional to 926.10, 1,388.67 and 341.07 is: 511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.10 : 1,388.67 = 341.07 : x
  2. Step 2: Convert to fraction form
    926.10/1,388.67 = 341.07/x
  3. Step 3: Cross multiply
    926.10x = 1,388.67 × 341.07
  4. Step 4: Simplify right side
    926.10x = 473,637.91
  5. Step 5: Solve for x
    x = 473,637.91/926.10
  6. Step 6: Final answer
    x = 511.44

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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.