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Finding the Fourth Proportional to 612.77, 919.22 and 530.82

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Solution

The fourth proportional to 612.77, 919.22 and 530.82 is: 796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.77 : 919.22 = 530.82 : x
  2. Step 2: Convert to fraction form
    612.77/919.22 = 530.82/x
  3. Step 3: Cross multiply
    612.77x = 919.22 × 530.82
  4. Step 4: Simplify right side
    612.77x = 487,937.71
  5. Step 5: Solve for x
    x = 487,937.71/612.77
  6. Step 6: Final answer
    x = 796.29

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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.