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Finding the Fourth Proportional to 530.50, 731.95 and 388.91

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Solution

The fourth proportional to 530.50, 731.95 and 388.91 is: 536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.50 : 731.95 = 388.91 : x
  2. Step 2: Convert to fraction form
    530.50/731.95 = 388.91/x
  3. Step 3: Cross multiply
    530.50x = 731.95 × 388.91
  4. Step 4: Simplify right side
    530.50x = 284,662.57
  5. Step 5: Solve for x
    x = 284,662.57/530.50
  6. Step 6: Final answer
    x = 536.60

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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.