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Finding the Fourth Proportional to 628.66, 867.71 and 407.53

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Solution

The fourth proportional to 628.66, 867.71 and 407.53 is: 562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.66 : 867.71 = 407.53 : x
  2. Step 2: Convert to fraction form
    628.66/867.71 = 407.53/x
  3. Step 3: Cross multiply
    628.66x = 867.71 × 407.53
  4. Step 4: Simplify right side
    628.66x = 353,619.96
  5. Step 5: Solve for x
    x = 353,619.96/628.66
  6. Step 6: Final answer
    x = 562.50

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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.