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Finding the Fourth Proportional to 593.91, 820.05 and 407.40

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Solution

The fourth proportional to 593.91, 820.05 and 407.40 is: 562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.91 : 820.05 = 407.40 : x
  2. Step 2: Convert to fraction form
    593.91/820.05 = 407.40/x
  3. Step 3: Cross multiply
    593.91x = 820.05 × 407.40
  4. Step 4: Simplify right side
    593.91x = 334,088.37
  5. Step 5: Solve for x
    x = 334,088.37/593.91
  6. Step 6: Final answer
    x = 562.52

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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.