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Finding the Fourth Proportional to 1,650.02, 2,277.05 and 1,060.74

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Solution

The fourth proportional to 1,650.02, 2,277.05 and 1,060.74 is: 1,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.02 : 2,277.05 = 1,060.74 : x
  2. Step 2: Convert to fraction form
    1,650.02/2,277.05 = 1,060.74/x
  3. Step 3: Cross multiply
    1,650.02x = 2,277.05 × 1,060.74
  4. Step 4: Simplify right side
    1,650.02x = 2,415,352.71
  5. Step 5: Solve for x
    x = 2,415,352.71/1,650.02
  6. Step 6: Final answer
    x = 1,463.84

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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.