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Finding the Fourth Proportional to 522.54, 720.77 and 504.72

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Solution

The fourth proportional to 522.54, 720.77 and 504.72 is: 696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.54 : 720.77 = 504.72 : x
  2. Step 2: Convert to fraction form
    522.54/720.77 = 504.72/x
  3. Step 3: Cross multiply
    522.54x = 720.77 × 504.72
  4. Step 4: Simplify right side
    522.54x = 363,784.51
  5. Step 5: Solve for x
    x = 363,784.51/522.54
  6. Step 6: Final answer
    x = 696.19

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1.5x scale

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.