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Finding the Fourth Proportional to 1,555.26, 2,332.86 and 400.98

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Solution

The fourth proportional to 1,555.26, 2,332.86 and 400.98 is: 601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.26 : 2,332.86 = 400.98 : x
  2. Step 2: Convert to fraction form
    1,555.26/2,332.86 = 400.98/x
  3. Step 3: Cross multiply
    1,555.26x = 2,332.86 × 400.98
  4. Step 4: Simplify right side
    1,555.26x = 935,430.20
  5. Step 5: Solve for x
    x = 935,430.20/1,555.26
  6. Step 6: Final answer
    x = 601.46

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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.