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Finding the Fourth Proportional to 1,281.95, 1,921.99 and 501.27

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Solution

The fourth proportional to 1,281.95, 1,921.99 and 501.27 is: 751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.95 : 1,921.99 = 501.27 : x
  2. Step 2: Convert to fraction form
    1,281.95/1,921.99 = 501.27/x
  3. Step 3: Cross multiply
    1,281.95x = 1,921.99 × 501.27
  4. Step 4: Simplify right side
    1,281.95x = 963,437.81
  5. Step 5: Solve for x
    x = 963,437.81/1,281.95
  6. Step 6: Final answer
    x = 751.54

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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.