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Finding the Fourth Proportional to 629.84, 945.76 and 560.54

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Solution

The fourth proportional to 629.84, 945.76 and 560.54 is: 841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.84 : 945.76 = 560.54 : x
  2. Step 2: Convert to fraction form
    629.84/945.76 = 560.54/x
  3. Step 3: Cross multiply
    629.84x = 945.76 × 560.54
  4. Step 4: Simplify right side
    629.84x = 530,136.31
  5. Step 5: Solve for x
    x = 530,136.31/629.84
  6. Step 6: Final answer
    x = 841.70

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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.