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Finding the Fourth Proportional to 1,030.82, 1,421.40 and 657.38

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Solution

The fourth proportional to 1,030.82, 1,421.40 and 657.38 is: 906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.82 : 1,421.40 = 657.38 : x
  2. Step 2: Convert to fraction form
    1,030.82/1,421.40 = 657.38/x
  3. Step 3: Cross multiply
    1,030.82x = 1,421.40 × 657.38
  4. Step 4: Simplify right side
    1,030.82x = 934,399.93
  5. Step 5: Solve for x
    x = 934,399.93/1,030.82
  6. Step 6: Final answer
    x = 906.46

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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.