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Finding the Fourth Proportional to 535.86, 806.91 and 468.18

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Solution

The fourth proportional to 535.86, 806.91 and 468.18 is: 705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.86 : 806.91 = 468.18 : x
  2. Step 2: Convert to fraction form
    535.86/806.91 = 468.18/x
  3. Step 3: Cross multiply
    535.86x = 806.91 × 468.18
  4. Step 4: Simplify right side
    535.86x = 377,779.12
  5. Step 5: Solve for x
    x = 377,779.12/535.86
  6. Step 6: Final answer
    x = 705.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.