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Finding the Fourth Proportional to 715.98, 1,071.95 and 455.33

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Solution

The fourth proportional to 715.98, 1,071.95 and 455.33 is: 681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.98 : 1,071.95 = 455.33 : x
  2. Step 2: Convert to fraction form
    715.98/1,071.95 = 455.33/x
  3. Step 3: Cross multiply
    715.98x = 1,071.95 × 455.33
  4. Step 4: Simplify right side
    715.98x = 488,083.36
  5. Step 5: Solve for x
    x = 488,083.36/715.98
  6. Step 6: Final answer
    x = 681.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.