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Finding the Fourth Proportional to 563.32, 841.01 and 505.36

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Solution

The fourth proportional to 563.32, 841.01 and 505.36 is: 754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.32 : 841.01 = 505.36 : x
  2. Step 2: Convert to fraction form
    563.32/841.01 = 505.36/x
  3. Step 3: Cross multiply
    563.32x = 841.01 × 505.36
  4. Step 4: Simplify right side
    563.32x = 425,012.81
  5. Step 5: Solve for x
    x = 425,012.81/563.32
  6. Step 6: Final answer
    x = 754.48

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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.