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Finding the Fourth Proportional to 561.16, 842.46 and 530.92

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Solution

The fourth proportional to 561.16, 842.46 and 530.92 is: 797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.16 : 842.46 = 530.92 : x
  2. Step 2: Convert to fraction form
    561.16/842.46 = 530.92/x
  3. Step 3: Cross multiply
    561.16x = 842.46 × 530.92
  4. Step 4: Simplify right side
    561.16x = 447,278.86
  5. Step 5: Solve for x
    x = 447,278.86/561.16
  6. Step 6: Final answer
    x = 797.06

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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.