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Finding the Fourth Proportional to 593.50, 890.57 and 289.50

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Solution

The fourth proportional to 593.50, 890.57 and 289.50 is: 434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.50 : 890.57 = 289.50 : x
  2. Step 2: Convert to fraction form
    593.50/890.57 = 289.50/x
  3. Step 3: Cross multiply
    593.50x = 890.57 × 289.50
  4. Step 4: Simplify right side
    593.50x = 257,820.02
  5. Step 5: Solve for x
    x = 257,820.02/593.50
  6. Step 6: Final answer
    x = 434.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.