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Finding the Fourth Proportional to 530.07, 730.99 and 405.73

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Solution

The fourth proportional to 530.07, 730.99 and 405.73 is: 559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.07 : 730.99 = 405.73 : x
  2. Step 2: Convert to fraction form
    530.07/730.99 = 405.73/x
  3. Step 3: Cross multiply
    530.07x = 730.99 × 405.73
  4. Step 4: Simplify right side
    530.07x = 296,582.54
  5. Step 5: Solve for x
    x = 296,582.54/530.07
  6. Step 6: Final answer
    x = 559.52

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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.