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Finding the Fourth Proportional to 612.26, 844.64 and 462.62

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Solution

The fourth proportional to 612.26, 844.64 and 462.62 is: 638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.26 : 844.64 = 462.62 : x
  2. Step 2: Convert to fraction form
    612.26/844.64 = 462.62/x
  3. Step 3: Cross multiply
    612.26x = 844.64 × 462.62
  4. Step 4: Simplify right side
    612.26x = 390,746.74
  5. Step 5: Solve for x
    x = 390,746.74/612.26
  6. Step 6: Final answer
    x = 638.20

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1.5x scale

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.