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Finding the Fourth Proportional to 1,355.98, 2,033.76 and 431.41

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Solution

The fourth proportional to 1,355.98, 2,033.76 and 431.41 is: 647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.98 : 2,033.76 = 431.41 : x
  2. Step 2: Convert to fraction form
    1,355.98/2,033.76 = 431.41/x
  3. Step 3: Cross multiply
    1,355.98x = 2,033.76 × 431.41
  4. Step 4: Simplify right side
    1,355.98x = 877,384.40
  5. Step 5: Solve for x
    x = 877,384.40/1,355.98
  6. Step 6: Final answer
    x = 647.05

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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.