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Finding the Fourth Proportional to 530.66, 731.76 and 419.96

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Solution

The fourth proportional to 530.66, 731.76 and 419.96 is: 579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.66 : 731.76 = 419.96 : x
  2. Step 2: Convert to fraction form
    530.66/731.76 = 419.96/x
  3. Step 3: Cross multiply
    530.66x = 731.76 × 419.96
  4. Step 4: Simplify right side
    530.66x = 307,309.93
  5. Step 5: Solve for x
    x = 307,309.93/530.66
  6. Step 6: Final answer
    x = 579.11

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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.