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Finding the Fourth Proportional to 561.66, 839.36 and 530.46

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Solution

The fourth proportional to 561.66, 839.36 and 530.46 is: 792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.66 : 839.36 = 530.46 : x
  2. Step 2: Convert to fraction form
    561.66/839.36 = 530.46/x
  3. Step 3: Cross multiply
    561.66x = 839.36 × 530.46
  4. Step 4: Simplify right side
    561.66x = 445,246.91
  5. Step 5: Solve for x
    x = 445,246.91/561.66
  6. Step 6: Final answer
    x = 792.73

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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.