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Finding the Fourth Proportional to 592.99, 889.50 and 285.10

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Solution

The fourth proportional to 592.99, 889.50 and 285.10 is: 427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.99 : 889.50 = 285.10 : x
  2. Step 2: Convert to fraction form
    592.99/889.50 = 285.10/x
  3. Step 3: Cross multiply
    592.99x = 889.50 × 285.10
  4. Step 4: Simplify right side
    592.99x = 253,596.45
  5. Step 5: Solve for x
    x = 253,596.45/592.99
  6. Step 6: Final answer
    x = 427.66

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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.