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Finding the Fourth Proportional to 929.23, 1,393.85 and 544.21

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Solution

The fourth proportional to 929.23, 1,393.85 and 544.21 is: 816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.23 : 1,393.85 = 544.21 : x
  2. Step 2: Convert to fraction form
    929.23/1,393.85 = 544.21/x
  3. Step 3: Cross multiply
    929.23x = 1,393.85 × 544.21
  4. Step 4: Simplify right side
    929.23x = 758,547.11
  5. Step 5: Solve for x
    x = 758,547.11/929.23
  6. Step 6: Final answer
    x = 816.32

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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.