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Finding the Fourth Proportional to 522.64, 785.18 and 501.99

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Solution

The fourth proportional to 522.64, 785.18 and 501.99 is: 754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.64 : 785.18 = 501.99 : x
  2. Step 2: Convert to fraction form
    522.64/785.18 = 501.99/x
  3. Step 3: Cross multiply
    522.64x = 785.18 × 501.99
  4. Step 4: Simplify right side
    522.64x = 394,152.51
  5. Step 5: Solve for x
    x = 394,152.51/522.64
  6. Step 6: Final answer
    x = 754.16

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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.