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Finding the Fourth Proportional to 644.32, 961.07 and 586

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Solution

The fourth proportional to 644.32, 961.07 and 586 is: 874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.32 : 961.07 = 586 : x
  2. Step 2: Convert to fraction form
    644.32/961.07 = 586/x
  3. Step 3: Cross multiply
    644.32x = 961.07 × 586
  4. Step 4: Simplify right side
    644.32x = 563,187.02
  5. Step 5: Solve for x
    x = 563,187.02/644.32
  6. Step 6: Final answer
    x = 874.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.