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Finding the Fourth Proportional to 577.70, 796.32 and 530.03

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Solution

The fourth proportional to 577.70, 796.32 and 530.03 is: 730.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.70 : 796.32 = 530.03 : x
  2. Step 2: Convert to fraction form
    577.70/796.32 = 530.03/x
  3. Step 3: Cross multiply
    577.70x = 796.32 × 530.03
  4. Step 4: Simplify right side
    577.70x = 422,069.51
  5. Step 5: Solve for x
    x = 422,069.51/577.70
  6. Step 6: Final answer
    x = 730.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.