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Finding the Fourth Proportional to 777.02, 1,072.91 and 529.16

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Solution

The fourth proportional to 777.02, 1,072.91 and 529.16 is: 730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.02 : 1,072.91 = 529.16 : x
  2. Step 2: Convert to fraction form
    777.02/1,072.91 = 529.16/x
  3. Step 3: Cross multiply
    777.02x = 1,072.91 × 529.16
  4. Step 4: Simplify right side
    777.02x = 567,737.01
  5. Step 5: Solve for x
    x = 567,737.01/777.02
  6. Step 6: Final answer
    x = 730.66

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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.