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Finding the Fourth Proportional to 1,772.64, 2,659.04 and 602.69

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Solution

The fourth proportional to 1,772.64, 2,659.04 and 602.69 is: 904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.64 : 2,659.04 = 602.69 : x
  2. Step 2: Convert to fraction form
    1,772.64/2,659.04 = 602.69/x
  3. Step 3: Cross multiply
    1,772.64x = 2,659.04 × 602.69
  4. Step 4: Simplify right side
    1,772.64x = 1,602,560.51
  5. Step 5: Solve for x
    x = 1,602,560.51/1,772.64
  6. Step 6: Final answer
    x = 904.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.