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Finding the Fourth Proportional to 715.47, 1,075.64 and 662.01

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Solution

The fourth proportional to 715.47, 1,075.64 and 662.01 is: 995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.47 : 1,075.64 = 662.01 : x
  2. Step 2: Convert to fraction form
    715.47/1,075.64 = 662.01/x
  3. Step 3: Cross multiply
    715.47x = 1,075.64 × 662.01
  4. Step 4: Simplify right side
    715.47x = 712,081.13
  5. Step 5: Solve for x
    x = 712,081.13/715.47
  6. Step 6: Final answer
    x = 995.26

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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.