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Finding the Fourth Proportional to 590.08, 888.64 and 518.72

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Solution

The fourth proportional to 590.08, 888.64 and 518.72 is: 781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.08 : 888.64 = 518.72 : x
  2. Step 2: Convert to fraction form
    590.08/888.64 = 518.72/x
  3. Step 3: Cross multiply
    590.08x = 888.64 × 518.72
  4. Step 4: Simplify right side
    590.08x = 460,955.34
  5. Step 5: Solve for x
    x = 460,955.34/590.08
  6. Step 6: Final answer
    x = 781.17

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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.