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Finding the Fourth Proportional to 585.02, 804.80 and 513.82

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Solution

The fourth proportional to 585.02, 804.80 and 513.82 is: 706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.02 : 804.80 = 513.82 : x
  2. Step 2: Convert to fraction form
    585.02/804.80 = 513.82/x
  3. Step 3: Cross multiply
    585.02x = 804.80 × 513.82
  4. Step 4: Simplify right side
    585.02x = 413,522.34
  5. Step 5: Solve for x
    x = 413,522.34/585.02
  6. Step 6: Final answer
    x = 706.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.