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Finding the Fourth Proportional to 612.96, 846.24 and 416.58

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Solution

The fourth proportional to 612.96, 846.24 and 416.58 is: 575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.96 : 846.24 = 416.58 : x
  2. Step 2: Convert to fraction form
    612.96/846.24 = 416.58/x
  3. Step 3: Cross multiply
    612.96x = 846.24 × 416.58
  4. Step 4: Simplify right side
    612.96x = 352,526.66
  5. Step 5: Solve for x
    x = 352,526.66/612.96
  6. Step 6: Final answer
    x = 575.12

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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.