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Finding the Fourth Proportional to 1,062.51, 1,594.10 and 369.15

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Solution

The fourth proportional to 1,062.51, 1,594.10 and 369.15 is: 553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.51 : 1,594.10 = 369.15 : x
  2. Step 2: Convert to fraction form
    1,062.51/1,594.10 = 369.15/x
  3. Step 3: Cross multiply
    1,062.51x = 1,594.10 × 369.15
  4. Step 4: Simplify right side
    1,062.51x = 588,462.02
  5. Step 5: Solve for x
    x = 588,462.02/1,062.51
  6. Step 6: Final answer
    x = 553.84

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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.