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Finding the Fourth Proportional to 1,020, 1,406.88 and 809.76

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Solution

The fourth proportional to 1,020, 1,406.88 and 809.76 is: 1,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020 : 1,406.88 = 809.76 : x
  2. Step 2: Convert to fraction form
    1,020/1,406.88 = 809.76/x
  3. Step 3: Cross multiply
    1,020x = 1,406.88 × 809.76
  4. Step 4: Simplify right side
    1,020x = 1,139,235.15
  5. Step 5: Solve for x
    x = 1,139,235.15/1,020
  6. Step 6: Final answer
    x = 1,116.90

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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.