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Finding the Fourth Proportional to 1,665.68, 2,298.63 and 909.51

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Solution

The fourth proportional to 1,665.68, 2,298.63 and 909.51 is: 1,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.68 : 2,298.63 = 909.51 : x
  2. Step 2: Convert to fraction form
    1,665.68/2,298.63 = 909.51/x
  3. Step 3: Cross multiply
    1,665.68x = 2,298.63 × 909.51
  4. Step 4: Simplify right side
    1,665.68x = 2,090,610.93
  5. Step 5: Solve for x
    x = 2,090,610.93/1,665.68
  6. Step 6: Final answer
    x = 1,255.11

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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.