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Finding the Fourth Proportional to 563.64, 845.40 and 289.02

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Solution

The fourth proportional to 563.64, 845.40 and 289.02 is: 433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.64 : 845.40 = 289.02 : x
  2. Step 2: Convert to fraction form
    563.64/845.40 = 289.02/x
  3. Step 3: Cross multiply
    563.64x = 845.40 × 289.02
  4. Step 4: Simplify right side
    563.64x = 244,337.51
  5. Step 5: Solve for x
    x = 244,337.51/563.64
  6. Step 6: Final answer
    x = 433.50

Related Problems

Find fourth proportional to 281.82, 422.70 and 144.51
Half scale
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Double scale
Find fourth proportional to 564.64, 846.90 and 290.02
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.