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Finding the Fourth Proportional to 1,427.10, 2,140.65 and 502.65

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Solution

The fourth proportional to 1,427.10, 2,140.65 and 502.65 is: 753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.10 : 2,140.65 = 502.65 : x
  2. Step 2: Convert to fraction form
    1,427.10/2,140.65 = 502.65/x
  3. Step 3: Cross multiply
    1,427.10x = 2,140.65 × 502.65
  4. Step 4: Simplify right side
    1,427.10x = 1,075,997.72
  5. Step 5: Solve for x
    x = 1,075,997.72/1,427.10
  6. Step 6: Final answer
    x = 753.98

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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.