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Finding the Fourth Proportional to 459.19, 634.16 and 393.31

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Solution

The fourth proportional to 459.19, 634.16 and 393.31 is: 543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.19 : 634.16 = 393.31 : x
  2. Step 2: Convert to fraction form
    459.19/634.16 = 393.31/x
  3. Step 3: Cross multiply
    459.19x = 634.16 × 393.31
  4. Step 4: Simplify right side
    459.19x = 249,421.47
  5. Step 5: Solve for x
    x = 249,421.47/459.19
  6. Step 6: Final answer
    x = 543.18

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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.