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Finding the Fourth Proportional to 715.63, 1,077.86 and 664.93

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Solution

The fourth proportional to 715.63, 1,077.86 and 664.93 is: 1,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.63 : 1,077.86 = 664.93 : x
  2. Step 2: Convert to fraction form
    715.63/1,077.86 = 664.93/x
  3. Step 3: Cross multiply
    715.63x = 1,077.86 × 664.93
  4. Step 4: Simplify right side
    715.63x = 716,699.79
  5. Step 5: Solve for x
    x = 716,699.79/715.63
  6. Step 6: Final answer
    x = 1,001.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.