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Finding the Fourth Proportional to 624.30, 860.77 and 458.45

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Solution

The fourth proportional to 624.30, 860.77 and 458.45 is: 632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.30 : 860.77 = 458.45 : x
  2. Step 2: Convert to fraction form
    624.30/860.77 = 458.45/x
  3. Step 3: Cross multiply
    624.30x = 860.77 × 458.45
  4. Step 4: Simplify right side
    624.30x = 394,620.01
  5. Step 5: Solve for x
    x = 394,620.01/624.30
  6. Step 6: Final answer
    x = 632.10

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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.