Home / 1,165.09-1,747.80-424.76

Finding the Fourth Proportional to 1,165.09, 1,747.80 and 424.76

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Solution

The fourth proportional to 1,165.09, 1,747.80 and 424.76 is: 637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.09 : 1,747.80 = 424.76 : x
  2. Step 2: Convert to fraction form
    1,165.09/1,747.80 = 424.76/x
  3. Step 3: Cross multiply
    1,165.09x = 1,747.80 × 424.76
  4. Step 4: Simplify right side
    1,165.09x = 742,395.53
  5. Step 5: Solve for x
    x = 742,395.53/1,165.09
  6. Step 6: Final answer
    x = 637.20

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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.