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Finding the Fourth Proportional to 563.93, 845.68 and 289.74

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Solution

The fourth proportional to 563.93, 845.68 and 289.74 is: 434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.93 : 845.68 = 289.74 : x
  2. Step 2: Convert to fraction form
    563.93/845.68 = 289.74/x
  3. Step 3: Cross multiply
    563.93x = 845.68 × 289.74
  4. Step 4: Simplify right side
    563.93x = 245,027.32
  5. Step 5: Solve for x
    x = 245,027.32/563.93
  6. Step 6: Final answer
    x = 434.50

Related Problems

Find fourth proportional to 281.97, 422.84 and 144.87
Half scale
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Double scale
Find fourth proportional to 564.93, 847.18 and 290.74
Similar ratio
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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.