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Finding the Fourth Proportional to 809.70, 1,214.55 and 592.80

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Solution

The fourth proportional to 809.70, 1,214.55 and 592.80 is: 889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.70 : 1,214.55 = 592.80 : x
  2. Step 2: Convert to fraction form
    809.70/1,214.55 = 592.80/x
  3. Step 3: Cross multiply
    809.70x = 1,214.55 × 592.80
  4. Step 4: Simplify right side
    809.70x = 719,985.24
  5. Step 5: Solve for x
    x = 719,985.24/809.70
  6. Step 6: Final answer
    x = 889.20

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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.