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Finding the Fourth Proportional to 521.16, 714.63 and 503.69

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Solution

The fourth proportional to 521.16, 714.63 and 503.69 is: 690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.16 : 714.63 = 503.69 : x
  2. Step 2: Convert to fraction form
    521.16/714.63 = 503.69/x
  3. Step 3: Cross multiply
    521.16x = 714.63 × 503.69
  4. Step 4: Simplify right side
    521.16x = 359,951.09
  5. Step 5: Solve for x
    x = 359,951.09/521.16
  6. Step 6: Final answer
    x = 690.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.