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Finding the Fourth Proportional to 759.86, 1,048.91 and 511.32

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Solution

The fourth proportional to 759.86, 1,048.91 and 511.32 is: 705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.86 : 1,048.91 = 511.32 : x
  2. Step 2: Convert to fraction form
    759.86/1,048.91 = 511.32/x
  3. Step 3: Cross multiply
    759.86x = 1,048.91 × 511.32
  4. Step 4: Simplify right side
    759.86x = 536,326.10
  5. Step 5: Solve for x
    x = 536,326.10/759.86
  6. Step 6: Final answer
    x = 705.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.