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Finding the Fourth Proportional to 564.94, 845.06 and 530.38

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Solution

The fourth proportional to 564.94, 845.06 and 530.38 is: 793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.94 : 845.06 = 530.38 : x
  2. Step 2: Convert to fraction form
    564.94/845.06 = 530.38/x
  3. Step 3: Cross multiply
    564.94x = 845.06 × 530.38
  4. Step 4: Simplify right side
    564.94x = 448,200.02
  5. Step 5: Solve for x
    x = 448,200.02/564.94
  6. Step 6: Final answer
    x = 793.37

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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.