Home / 1,427.02-2,140.09-502.40

Finding the Fourth Proportional to 1,427.02, 2,140.09 and 502.40

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Solution

The fourth proportional to 1,427.02, 2,140.09 and 502.40 is: 753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.02 : 2,140.09 = 502.40 : x
  2. Step 2: Convert to fraction form
    1,427.02/2,140.09 = 502.40/x
  3. Step 3: Cross multiply
    1,427.02x = 2,140.09 × 502.40
  4. Step 4: Simplify right side
    1,427.02x = 1,075,181.22
  5. Step 5: Solve for x
    x = 1,075,181.22/1,427.02
  6. Step 6: Final answer
    x = 753.45

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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.