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Finding the Fourth Proportional to 1,263.58, 1,895.55 and 374.20

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Solution

The fourth proportional to 1,263.58, 1,895.55 and 374.20 is: 561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.58 : 1,895.55 = 374.20 : x
  2. Step 2: Convert to fraction form
    1,263.58/1,895.55 = 374.20/x
  3. Step 3: Cross multiply
    1,263.58x = 1,895.55 × 374.20
  4. Step 4: Simplify right side
    1,263.58x = 709,314.81
  5. Step 5: Solve for x
    x = 709,314.81/1,263.58
  6. Step 6: Final answer
    x = 561.35

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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.