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Finding the Fourth Proportional to 1,020, 1,522.35 and 1,008.96

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Solution

The fourth proportional to 1,020, 1,522.35 and 1,008.96 is: 1,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020 : 1,522.35 = 1,008.96 : x
  2. Step 2: Convert to fraction form
    1,020/1,522.35 = 1,008.96/x
  3. Step 3: Cross multiply
    1,020x = 1,522.35 × 1,008.96
  4. Step 4: Simplify right side
    1,020x = 1,535,990.26
  5. Step 5: Solve for x
    x = 1,535,990.26/1,020
  6. Step 6: Final answer
    x = 1,505.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.