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Finding the Fourth Proportional to 985.00, 1,359.19 and 565.34

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Solution

The fourth proportional to 985.00, 1,359.19 and 565.34 is: 780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.00 : 1,359.19 = 565.34 : x
  2. Step 2: Convert to fraction form
    985.00/1,359.19 = 565.34/x
  3. Step 3: Cross multiply
    985.00x = 1,359.19 × 565.34
  4. Step 4: Simplify right side
    985.00x = 768,401.36
  5. Step 5: Solve for x
    x = 768,401.36/985.00
  6. Step 6: Final answer
    x = 780.10

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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.