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Finding the Fourth Proportional to 520.93, 714.27 and 508.63

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Solution

The fourth proportional to 520.93, 714.27 and 508.63 is: 697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.93 : 714.27 = 508.63 : x
  2. Step 2: Convert to fraction form
    520.93/714.27 = 508.63/x
  3. Step 3: Cross multiply
    520.93x = 714.27 × 508.63
  4. Step 4: Simplify right side
    520.93x = 363,297.75
  5. Step 5: Solve for x
    x = 363,297.75/520.93
  6. Step 6: Final answer
    x = 697.40

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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.