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Finding the Fourth Proportional to 1,037.25, 1,555.71 and 420.80

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Solution

The fourth proportional to 1,037.25, 1,555.71 and 420.80 is: 631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.25 : 1,555.71 = 420.80 : x
  2. Step 2: Convert to fraction form
    1,037.25/1,555.71 = 420.80/x
  3. Step 3: Cross multiply
    1,037.25x = 1,555.71 × 420.80
  4. Step 4: Simplify right side
    1,037.25x = 654,642.77
  5. Step 5: Solve for x
    x = 654,642.77/1,037.25
  6. Step 6: Final answer
    x = 631.13

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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.