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Finding the Fourth Proportional to 790.38, 1,090.42 and 458.69

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Solution

The fourth proportional to 790.38, 1,090.42 and 458.69 is: 632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.38 : 1,090.42 = 458.69 : x
  2. Step 2: Convert to fraction form
    790.38/1,090.42 = 458.69/x
  3. Step 3: Cross multiply
    790.38x = 1,090.42 × 458.69
  4. Step 4: Simplify right side
    790.38x = 500,158.15
  5. Step 5: Solve for x
    x = 500,158.15/790.38
  6. Step 6: Final answer
    x = 632.81

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1.5x scale

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.