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Finding the Fourth Proportional to 852.66, 1,279.26 and 530.28

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Solution

The fourth proportional to 852.66, 1,279.26 and 530.28 is: 795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.66 : 1,279.26 = 530.28 : x
  2. Step 2: Convert to fraction form
    852.66/1,279.26 = 530.28/x
  3. Step 3: Cross multiply
    852.66x = 1,279.26 × 530.28
  4. Step 4: Simplify right side
    852.66x = 678,365.99
  5. Step 5: Solve for x
    x = 678,365.99/852.66
  6. Step 6: Final answer
    x = 795.59

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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.