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Finding the Fourth Proportional to 1,366.58, 1,886.30 and 777.50

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Solution

The fourth proportional to 1,366.58, 1,886.30 and 777.50 is: 1,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.58 : 1,886.30 = 777.50 : x
  2. Step 2: Convert to fraction form
    1,366.58/1,886.30 = 777.50/x
  3. Step 3: Cross multiply
    1,366.58x = 1,886.30 × 777.50
  4. Step 4: Simplify right side
    1,366.58x = 1,466,598.25
  5. Step 5: Solve for x
    x = 1,466,598.25/1,366.58
  6. Step 6: Final answer
    x = 1,073.19

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