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Finding the Fourth Proportional to 1,021.25, 1,530.65 and 711.42

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Solution

The fourth proportional to 1,021.25, 1,530.65 and 711.42 is: 1,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.25 : 1,530.65 = 711.42 : x
  2. Step 2: Convert to fraction form
    1,021.25/1,530.65 = 711.42/x
  3. Step 3: Cross multiply
    1,021.25x = 1,530.65 × 711.42
  4. Step 4: Simplify right side
    1,021.25x = 1,088,935.02
  5. Step 5: Solve for x
    x = 1,088,935.02/1,021.25
  6. Step 6: Final answer
    x = 1,066.28

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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.