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Finding the Fourth Proportional to 550.12, 825.32 and 510.91

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Solution

The fourth proportional to 550.12, 825.32 and 510.91 is: 766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.12 : 825.32 = 510.91 : x
  2. Step 2: Convert to fraction form
    550.12/825.32 = 510.91/x
  3. Step 3: Cross multiply
    550.12x = 825.32 × 510.91
  4. Step 4: Simplify right side
    550.12x = 421,664.24
  5. Step 5: Solve for x
    x = 421,664.24/550.12
  6. Step 6: Final answer
    x = 766.50

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1.5x scale

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.