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Finding the Fourth Proportional to 1,770.93, 2,656.31 and 538.31

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Solution

The fourth proportional to 1,770.93, 2,656.31 and 538.31 is: 807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.93 : 2,656.31 = 538.31 : x
  2. Step 2: Convert to fraction form
    1,770.93/2,656.31 = 538.31/x
  3. Step 3: Cross multiply
    1,770.93x = 2,656.31 × 538.31
  4. Step 4: Simplify right side
    1,770.93x = 1,429,922.19
  5. Step 5: Solve for x
    x = 1,429,922.19/1,770.93
  6. Step 6: Final answer
    x = 807.44

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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.