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Finding the Fourth Proportional to 563.89, 845.05 and 289.40

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Solution

The fourth proportional to 563.89, 845.05 and 289.40 is: 433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.89 : 845.05 = 289.40 : x
  2. Step 2: Convert to fraction form
    563.89/845.05 = 289.40/x
  3. Step 3: Cross multiply
    563.89x = 845.05 × 289.40
  4. Step 4: Simplify right side
    563.89x = 244,557.47
  5. Step 5: Solve for x
    x = 244,557.47/563.89
  6. Step 6: Final answer
    x = 433.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.