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Finding the Fourth Proportional to 566.45, 843.98 and 505.07

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Solution

The fourth proportional to 566.45, 843.98 and 505.07 is: 752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.45 : 843.98 = 505.07 : x
  2. Step 2: Convert to fraction form
    566.45/843.98 = 505.07/x
  3. Step 3: Cross multiply
    566.45x = 843.98 × 505.07
  4. Step 4: Simplify right side
    566.45x = 426,264.76
  5. Step 5: Solve for x
    x = 426,264.76/566.45
  6. Step 6: Final answer
    x = 752.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.