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Finding the Fourth Proportional to 626.94, 864.58 and 592.32

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Solution

The fourth proportional to 626.94, 864.58 and 592.32 is: 816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.94 : 864.58 = 592.32 : x
  2. Step 2: Convert to fraction form
    626.94/864.58 = 592.32/x
  3. Step 3: Cross multiply
    626.94x = 864.58 × 592.32
  4. Step 4: Simplify right side
    626.94x = 512,108.03
  5. Step 5: Solve for x
    x = 512,108.03/626.94
  6. Step 6: Final answer
    x = 816.84

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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.