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Finding the Fourth Proportional to 1,090.27, 1,504.57 and 592.91

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Solution

The fourth proportional to 1,090.27, 1,504.57 and 592.91 is: 818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.27 : 1,504.57 = 592.91 : x
  2. Step 2: Convert to fraction form
    1,090.27/1,504.57 = 592.91/x
  3. Step 3: Cross multiply
    1,090.27x = 1,504.57 × 592.91
  4. Step 4: Simplify right side
    1,090.27x = 892,064.11
  5. Step 5: Solve for x
    x = 892,064.11/1,090.27
  6. Step 6: Final answer
    x = 818.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.