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Finding the Fourth Proportional to 790.18, 1,090.24 and 475.38

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Solution

The fourth proportional to 790.18, 1,090.24 and 475.38 is: 655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.18 : 1,090.24 = 475.38 : x
  2. Step 2: Convert to fraction form
    790.18/1,090.24 = 475.38/x
  3. Step 3: Cross multiply
    790.18x = 1,090.24 × 475.38
  4. Step 4: Simplify right side
    790.18x = 518,278.29
  5. Step 5: Solve for x
    x = 518,278.29/790.18
  6. Step 6: Final answer
    x = 655.90

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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.