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Finding the Fourth Proportional to 694.46, 1,045.18 and 522.02

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Solution

The fourth proportional to 694.46, 1,045.18 and 522.02 is: 785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.46 : 1,045.18 = 522.02 : x
  2. Step 2: Convert to fraction form
    694.46/1,045.18 = 522.02/x
  3. Step 3: Cross multiply
    694.46x = 1,045.18 × 522.02
  4. Step 4: Simplify right side
    694.46x = 545,602.25
  5. Step 5: Solve for x
    x = 545,602.25/694.46
  6. Step 6: Final answer
    x = 785.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.