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Finding the Fourth Proportional to 593.49, 820.95 and 556.32

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Solution

The fourth proportional to 593.49, 820.95 and 556.32 is: 769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.49 : 820.95 = 556.32 : x
  2. Step 2: Convert to fraction form
    593.49/820.95 = 556.32/x
  3. Step 3: Cross multiply
    593.49x = 820.95 × 556.32
  4. Step 4: Simplify right side
    593.49x = 456,710.90
  5. Step 5: Solve for x
    x = 456,710.90/593.49
  6. Step 6: Final answer
    x = 769.53

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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.