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Finding the Fourth Proportional to 501.80, 751.66 and 295.74

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Solution

The fourth proportional to 501.80, 751.66 and 295.74 is: 443.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.80 : 751.66 = 295.74 : x
  2. Step 2: Convert to fraction form
    501.80/751.66 = 295.74/x
  3. Step 3: Cross multiply
    501.80x = 751.66 × 295.74
  4. Step 4: Simplify right side
    501.80x = 222,295.19
  5. Step 5: Solve for x
    x = 222,295.19/501.80
  6. Step 6: Final answer
    x = 443.00

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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.