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Finding the Fourth Proportional to 612.72, 846.16 and 569.04

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Solution

The fourth proportional to 612.72, 846.16 and 569.04 is: 785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.72 : 846.16 = 569.04 : x
  2. Step 2: Convert to fraction form
    612.72/846.16 = 569.04/x
  3. Step 3: Cross multiply
    612.72x = 846.16 × 569.04
  4. Step 4: Simplify right side
    612.72x = 481,498.89
  5. Step 5: Solve for x
    x = 481,498.89/612.72
  6. Step 6: Final answer
    x = 785.84

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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.