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Finding the Fourth Proportional to 1,281.77, 1,921.24 and 501.63

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Solution

The fourth proportional to 1,281.77, 1,921.24 and 501.63 is: 751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.77 : 1,921.24 = 501.63 : x
  2. Step 2: Convert to fraction form
    1,281.77/1,921.24 = 501.63/x
  3. Step 3: Cross multiply
    1,281.77x = 1,921.24 × 501.63
  4. Step 4: Simplify right side
    1,281.77x = 963,749.11
  5. Step 5: Solve for x
    x = 963,749.11/1,281.77
  6. Step 6: Final answer
    x = 751.89

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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.