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Finding the Fourth Proportional to 610.32, 842.58 and 463.32

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Solution

The fourth proportional to 610.32, 842.58 and 463.32 is: 639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.32 : 842.58 = 463.32 : x
  2. Step 2: Convert to fraction form
    610.32/842.58 = 463.32/x
  3. Step 3: Cross multiply
    610.32x = 842.58 × 463.32
  4. Step 4: Simplify right side
    610.32x = 390,384.17
  5. Step 5: Solve for x
    x = 390,384.17/610.32
  6. Step 6: Final answer
    x = 639.64

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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.