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Finding the Fourth Proportional to 530.69, 730.08 and 518.40

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Solution

The fourth proportional to 530.69, 730.08 and 518.40 is: 713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.69 : 730.08 = 518.40 : x
  2. Step 2: Convert to fraction form
    530.69/730.08 = 518.40/x
  3. Step 3: Cross multiply
    530.69x = 730.08 × 518.40
  4. Step 4: Simplify right side
    530.69x = 378,473.47
  5. Step 5: Solve for x
    x = 378,473.47/530.69
  6. Step 6: Final answer
    x = 713.18

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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.