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Finding the Fourth Proportional to 413.53, 616.88 and 384.05

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Solution

The fourth proportional to 413.53, 616.88 and 384.05 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.53 : 616.88 = 384.05 : x
  2. Step 2: Convert to fraction form
    413.53/616.88 = 384.05/x
  3. Step 3: Cross multiply
    413.53x = 616.88 × 384.05
  4. Step 4: Simplify right side
    413.53x = 236,915.27
  5. Step 5: Solve for x
    x = 236,915.27/413.53
  6. Step 6: Final answer
    x = 572.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.