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Finding the Fourth Proportional to 522.96, 720.74 and 365.07

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Solution

The fourth proportional to 522.96, 720.74 and 365.07 is: 503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.96 : 720.74 = 365.07 : x
  2. Step 2: Convert to fraction form
    522.96/720.74 = 365.07/x
  3. Step 3: Cross multiply
    522.96x = 720.74 × 365.07
  4. Step 4: Simplify right side
    522.96x = 263,118.73
  5. Step 5: Solve for x
    x = 263,118.73/522.96
  6. Step 6: Final answer
    x = 503.13

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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.