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Finding the Fourth Proportional to 530.75, 731.84 and 419.99

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Solution

The fourth proportional to 530.75, 731.84 and 419.99 is: 579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.75 : 731.84 = 419.99 : x
  2. Step 2: Convert to fraction form
    530.75/731.84 = 419.99/x
  3. Step 3: Cross multiply
    530.75x = 731.84 × 419.99
  4. Step 4: Simplify right side
    530.75x = 307,359.72
  5. Step 5: Solve for x
    x = 307,359.72/530.75
  6. Step 6: Final answer
    x = 579.10

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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.