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Finding the Fourth Proportional to 563.69, 841.37 and 529.07

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Solution

The fourth proportional to 563.69, 841.37 and 529.07 is: 789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.69 : 841.37 = 529.07 : x
  2. Step 2: Convert to fraction form
    563.69/841.37 = 529.07/x
  3. Step 3: Cross multiply
    563.69x = 841.37 × 529.07
  4. Step 4: Simplify right side
    563.69x = 445,136.77
  5. Step 5: Solve for x
    x = 445,136.77/563.69
  6. Step 6: Final answer
    x = 789.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.