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Finding the Fourth Proportional to 716, 987.40 and 467.51

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Solution

The fourth proportional to 716, 987.40 and 467.51 is: 644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    716 : 987.40 = 467.51 : x
  2. Step 2: Convert to fraction form
    716/987.40 = 467.51/x
  3. Step 3: Cross multiply
    716x = 987.40 × 467.51
  4. Step 4: Simplify right side
    716x = 461,619.37
  5. Step 5: Solve for x
    x = 461,619.37/716
  6. Step 6: Final answer
    x = 644.72

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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.