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Finding the Fourth Proportional to 536.18, 740.21 and 417.90

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Solution

The fourth proportional to 536.18, 740.21 and 417.90 is: 576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.18 : 740.21 = 417.90 : x
  2. Step 2: Convert to fraction form
    536.18/740.21 = 417.90/x
  3. Step 3: Cross multiply
    536.18x = 740.21 × 417.90
  4. Step 4: Simplify right side
    536.18x = 309,331.67
  5. Step 5: Solve for x
    x = 309,331.67/536.18
  6. Step 6: Final answer
    x = 576.92

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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.