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Finding the Fourth Proportional to 622.16, 933.58 and 524.20

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Solution

The fourth proportional to 622.16, 933.58 and 524.20 is: 786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.16 : 933.58 = 524.20 : x
  2. Step 2: Convert to fraction form
    622.16/933.58 = 524.20/x
  3. Step 3: Cross multiply
    622.16x = 933.58 × 524.20
  4. Step 4: Simplify right side
    622.16x = 489,377.13
  5. Step 5: Solve for x
    x = 489,377.13/622.16
  6. Step 6: Final answer
    x = 786.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.