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Finding the Fourth Proportional to 560.24, 839.58 and 463.34

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Solution

The fourth proportional to 560.24, 839.58 and 463.34 is: 694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.24 : 839.58 = 463.34 : x
  2. Step 2: Convert to fraction form
    560.24/839.58 = 463.34/x
  3. Step 3: Cross multiply
    560.24x = 839.58 × 463.34
  4. Step 4: Simplify right side
    560.24x = 389,011.00
  5. Step 5: Solve for x
    x = 389,011.00/560.24
  6. Step 6: Final answer
    x = 694.36

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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.