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Finding the Fourth Proportional to 600.84, 899.82 and 553.32

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Solution

The fourth proportional to 600.84, 899.82 and 553.32 is: 828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.84 : 899.82 = 553.32 : x
  2. Step 2: Convert to fraction form
    600.84/899.82 = 553.32/x
  3. Step 3: Cross multiply
    600.84x = 899.82 × 553.32
  4. Step 4: Simplify right side
    600.84x = 497,888.40
  5. Step 5: Solve for x
    x = 497,888.40/600.84
  6. Step 6: Final answer
    x = 828.65

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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.