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Finding the Fourth Proportional to 582.82, 804.40 and 533.40

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Solution

The fourth proportional to 582.82, 804.40 and 533.40 is: 736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.82 : 804.40 = 533.40 : x
  2. Step 2: Convert to fraction form
    582.82/804.40 = 533.40/x
  3. Step 3: Cross multiply
    582.82x = 804.40 × 533.40
  4. Step 4: Simplify right side
    582.82x = 429,066.96
  5. Step 5: Solve for x
    x = 429,066.96/582.82
  6. Step 6: Final answer
    x = 736.19

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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.