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Finding the Fourth Proportional to 563.76, 841.70 and 486.64

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Solution

The fourth proportional to 563.76, 841.70 and 486.64 is: 726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.76 : 841.70 = 486.64 : x
  2. Step 2: Convert to fraction form
    563.76/841.70 = 486.64/x
  3. Step 3: Cross multiply
    563.76x = 841.70 × 486.64
  4. Step 4: Simplify right side
    563.76x = 409,604.89
  5. Step 5: Solve for x
    x = 409,604.89/563.76
  6. Step 6: Final answer
    x = 726.56

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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.