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Finding the Fourth Proportional to 820.51, 1,132.54 and 501.59

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Solution

The fourth proportional to 820.51, 1,132.54 and 501.59 is: 692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.51 : 1,132.54 = 501.59 : x
  2. Step 2: Convert to fraction form
    820.51/1,132.54 = 501.59/x
  3. Step 3: Cross multiply
    820.51x = 1,132.54 × 501.59
  4. Step 4: Simplify right side
    820.51x = 568,072.32
  5. Step 5: Solve for x
    x = 568,072.32/820.51
  6. Step 6: Final answer
    x = 692.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.