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Finding the Fourth Proportional to 1,303.12, 1,955.00 and 378.74

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Solution

The fourth proportional to 1,303.12, 1,955.00 and 378.74 is: 568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.12 : 1,955.00 = 378.74 : x
  2. Step 2: Convert to fraction form
    1,303.12/1,955.00 = 378.74/x
  3. Step 3: Cross multiply
    1,303.12x = 1,955.00 × 378.74
  4. Step 4: Simplify right side
    1,303.12x = 740,442.53
  5. Step 5: Solve for x
    x = 740,442.53/1,303.12
  6. Step 6: Final answer
    x = 568.21

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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.