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Finding the Fourth Proportional to 1,022, 1,530.20 and 714.16

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Solution

The fourth proportional to 1,022, 1,530.20 and 714.16 is: 1,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022 : 1,530.20 = 714.16 : x
  2. Step 2: Convert to fraction form
    1,022/1,530.20 = 714.16/x
  3. Step 3: Cross multiply
    1,022x = 1,530.20 × 714.16
  4. Step 4: Simplify right side
    1,022x = 1,092,807.63
  5. Step 5: Solve for x
    x = 1,092,807.63/1,022
  6. Step 6: Final answer
    x = 1,069.28

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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.