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Finding the Fourth Proportional to 530.07, 731.73 and 411.74

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Solution

The fourth proportional to 530.07, 731.73 and 411.74 is: 568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.07 : 731.73 = 411.74 : x
  2. Step 2: Convert to fraction form
    530.07/731.73 = 411.74/x
  3. Step 3: Cross multiply
    530.07x = 731.73 × 411.74
  4. Step 4: Simplify right side
    530.07x = 301,282.51
  5. Step 5: Solve for x
    x = 301,282.51/530.07
  6. Step 6: Final answer
    x = 568.38

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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.