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Finding the Fourth Proportional to 563.57, 841.65 and 506.16

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Solution

The fourth proportional to 563.57, 841.65 and 506.16 is: 755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.57 : 841.65 = 506.16 : x
  2. Step 2: Convert to fraction form
    563.57/841.65 = 506.16/x
  3. Step 3: Cross multiply
    563.57x = 841.65 × 506.16
  4. Step 4: Simplify right side
    563.57x = 426,009.56
  5. Step 5: Solve for x
    x = 426,009.56/563.57
  6. Step 6: Final answer
    x = 755.92

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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.