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Finding the Fourth Proportional to 1,760.42, 2,430.33 and 1,410.50

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Solution

The fourth proportional to 1,760.42, 2,430.33 and 1,410.50 is: 1,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.42 : 2,430.33 = 1,410.50 : x
  2. Step 2: Convert to fraction form
    1,760.42/2,430.33 = 1,410.50/x
  3. Step 3: Cross multiply
    1,760.42x = 2,430.33 × 1,410.50
  4. Step 4: Simplify right side
    1,760.42x = 3,427,980.47
  5. Step 5: Solve for x
    x = 3,427,980.47/1,760.42
  6. Step 6: Final answer
    x = 1,947.25

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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.