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Finding the Fourth Proportional to 563.34, 782.81 and 556.46

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Solution

The fourth proportional to 563.34, 782.81 and 556.46 is: 773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.34 : 782.81 = 556.46 : x
  2. Step 2: Convert to fraction form
    563.34/782.81 = 556.46/x
  3. Step 3: Cross multiply
    563.34x = 782.81 × 556.46
  4. Step 4: Simplify right side
    563.34x = 435,595.76
  5. Step 5: Solve for x
    x = 435,595.76/563.34
  6. Step 6: Final answer
    x = 773.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.