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Finding the Fourth Proportional to 598.76, 892 and 561.50

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Solution

The fourth proportional to 598.76, 892 and 561.50 is: 836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.76 : 892 = 561.50 : x
  2. Step 2: Convert to fraction form
    598.76/892 = 561.50/x
  3. Step 3: Cross multiply
    598.76x = 892 × 561.50
  4. Step 4: Simplify right side
    598.76x = 500,858
  5. Step 5: Solve for x
    x = 500,858/598.76
  6. Step 6: Final answer
    x = 836.49

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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.