Home / 1,342.02-2,013.23-417.66

Finding the Fourth Proportional to 1,342.02, 2,013.23 and 417.66

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Solution

The fourth proportional to 1,342.02, 2,013.23 and 417.66 is: 626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.02 : 2,013.23 = 417.66 : x
  2. Step 2: Convert to fraction form
    1,342.02/2,013.23 = 417.66/x
  3. Step 3: Cross multiply
    1,342.02x = 2,013.23 × 417.66
  4. Step 4: Simplify right side
    1,342.02x = 840,845.64
  5. Step 5: Solve for x
    x = 840,845.64/1,342.02
  6. Step 6: Final answer
    x = 626.55

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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.