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Finding the Fourth Proportional to 501.63, 751.73 and 365.10

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Solution

The fourth proportional to 501.63, 751.73 and 365.10 is: 547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.63 : 751.73 = 365.10 : x
  2. Step 2: Convert to fraction form
    501.63/751.73 = 365.10/x
  3. Step 3: Cross multiply
    501.63x = 751.73 × 365.10
  4. Step 4: Simplify right side
    501.63x = 274,454.80
  5. Step 5: Solve for x
    x = 274,454.80/501.63
  6. Step 6: Final answer
    x = 547.13

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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.