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Finding the Fourth Proportional to 617.51, 847.70 and 530.03

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Solution

The fourth proportional to 617.51, 847.70 and 530.03 is: 727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.51 : 847.70 = 530.03 : x
  2. Step 2: Convert to fraction form
    617.51/847.70 = 530.03/x
  3. Step 3: Cross multiply
    617.51x = 847.70 × 530.03
  4. Step 4: Simplify right side
    617.51x = 449,299.54
  5. Step 5: Solve for x
    x = 449,299.54/617.51
  6. Step 6: Final answer
    x = 727.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.