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Finding the Fourth Proportional to 598.20, 901.08 and 561.76

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Solution

The fourth proportional to 598.20, 901.08 and 561.76 is: 846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.20 : 901.08 = 561.76 : x
  2. Step 2: Convert to fraction form
    598.20/901.08 = 561.76/x
  3. Step 3: Cross multiply
    598.20x = 901.08 × 561.76
  4. Step 4: Simplify right side
    598.20x = 506,190.70
  5. Step 5: Solve for x
    x = 506,190.70/598.20
  6. Step 6: Final answer
    x = 846.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.