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Finding the Fourth Proportional to 648.29, 889.84 and 592.93

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Solution

The fourth proportional to 648.29, 889.84 and 592.93 is: 813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.29 : 889.84 = 592.93 : x
  2. Step 2: Convert to fraction form
    648.29/889.84 = 592.93/x
  3. Step 3: Cross multiply
    648.29x = 889.84 × 592.93
  4. Step 4: Simplify right side
    648.29x = 527,612.83
  5. Step 5: Solve for x
    x = 527,612.83/648.29
  6. Step 6: Final answer
    x = 813.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.