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Finding the Fourth Proportional to 1,666.60, 2,300.78 and 1,077.47

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Solution

The fourth proportional to 1,666.60, 2,300.78 and 1,077.47 is: 1,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.60 : 2,300.78 = 1,077.47 : x
  2. Step 2: Convert to fraction form
    1,666.60/2,300.78 = 1,077.47/x
  3. Step 3: Cross multiply
    1,666.60x = 2,300.78 × 1,077.47
  4. Step 4: Simplify right side
    1,666.60x = 2,479,021.43
  5. Step 5: Solve for x
    x = 2,479,021.43/1,666.60
  6. Step 6: Final answer
    x = 1,487.47

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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.