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Finding the Fourth Proportional to 1,077.05, 1,486.34 and 657.42

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Solution

The fourth proportional to 1,077.05, 1,486.34 and 657.42 is: 907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.05 : 1,486.34 = 657.42 : x
  2. Step 2: Convert to fraction form
    1,077.05/1,486.34 = 657.42/x
  3. Step 3: Cross multiply
    1,077.05x = 1,486.34 × 657.42
  4. Step 4: Simplify right side
    1,077.05x = 977,146.36
  5. Step 5: Solve for x
    x = 977,146.36/1,077.05
  6. Step 6: Final answer
    x = 907.25

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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.