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Finding the Fourth Proportional to 1,368.53, 1,888.38 and 771.02

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Solution

The fourth proportional to 1,368.53, 1,888.38 and 771.02 is: 1,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.53 : 1,888.38 = 771.02 : x
  2. Step 2: Convert to fraction form
    1,368.53/1,888.38 = 771.02/x
  3. Step 3: Cross multiply
    1,368.53x = 1,888.38 × 771.02
  4. Step 4: Simplify right side
    1,368.53x = 1,455,969.31
  5. Step 5: Solve for x
    x = 1,455,969.31/1,368.53
  6. Step 6: Final answer
    x = 1,063.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.