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Finding the Fourth Proportional to 790.15, 1,090.41 and 458.77

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Solution

The fourth proportional to 790.15, 1,090.41 and 458.77 is: 633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.15 : 1,090.41 = 458.77 : x
  2. Step 2: Convert to fraction form
    790.15/1,090.41 = 458.77/x
  3. Step 3: Cross multiply
    790.15x = 1,090.41 × 458.77
  4. Step 4: Simplify right side
    790.15x = 500,247.40
  5. Step 5: Solve for x
    x = 500,247.40/790.15
  6. Step 6: Final answer
    x = 633.10

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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.