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Finding the Fourth Proportional to 585.58, 805.70 and 506.64

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Solution

The fourth proportional to 585.58, 805.70 and 506.64 is: 697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.58 : 805.70 = 506.64 : x
  2. Step 2: Convert to fraction form
    585.58/805.70 = 506.64/x
  3. Step 3: Cross multiply
    585.58x = 805.70 × 506.64
  4. Step 4: Simplify right side
    585.58x = 408,199.85
  5. Step 5: Solve for x
    x = 408,199.85/585.58
  6. Step 6: Final answer
    x = 697.09

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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.