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Finding the Fourth Proportional to 620.16, 933.72 and 429

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Solution

The fourth proportional to 620.16, 933.72 and 429 is: 645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.16 : 933.72 = 429 : x
  2. Step 2: Convert to fraction form
    620.16/933.72 = 429/x
  3. Step 3: Cross multiply
    620.16x = 933.72 × 429
  4. Step 4: Simplify right side
    620.16x = 400,565.88
  5. Step 5: Solve for x
    x = 400,565.88/620.16
  6. Step 6: Final answer
    x = 645.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.