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Finding the Fourth Proportional to 522.15, 782.58 and 457

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Solution

The fourth proportional to 522.15, 782.58 and 457 is: 684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.15 : 782.58 = 457 : x
  2. Step 2: Convert to fraction form
    522.15/782.58 = 457/x
  3. Step 3: Cross multiply
    522.15x = 782.58 × 457
  4. Step 4: Simplify right side
    522.15x = 357,639.06
  5. Step 5: Solve for x
    x = 357,639.06/522.15
  6. Step 6: Final answer
    x = 684.94

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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.