Home / 1,417.40-2,126.37-492.74

Finding the Fourth Proportional to 1,417.40, 2,126.37 and 492.74

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Solution

The fourth proportional to 1,417.40, 2,126.37 and 492.74 is: 739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.40 : 2,126.37 = 492.74 : x
  2. Step 2: Convert to fraction form
    1,417.40/2,126.37 = 492.74/x
  3. Step 3: Cross multiply
    1,417.40x = 2,126.37 × 492.74
  4. Step 4: Simplify right side
    1,417.40x = 1,047,747.55
  5. Step 5: Solve for x
    x = 1,047,747.55/1,417.40
  6. Step 6: Final answer
    x = 739.20

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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.