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Finding the Fourth Proportional to 560.91, 842.09 and 530.67

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Solution

The fourth proportional to 560.91, 842.09 and 530.67 is: 796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.91 : 842.09 = 530.67 : x
  2. Step 2: Convert to fraction form
    560.91/842.09 = 530.67/x
  3. Step 3: Cross multiply
    560.91x = 842.09 × 530.67
  4. Step 4: Simplify right side
    560.91x = 446,869.25
  5. Step 5: Solve for x
    x = 446,869.25/560.91
  6. Step 6: Final answer
    x = 796.69

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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.