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Finding the Fourth Proportional to 751.02, 1,034.10 and 657.23

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Solution

The fourth proportional to 751.02, 1,034.10 and 657.23 is: 904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.02 : 1,034.10 = 657.23 : x
  2. Step 2: Convert to fraction form
    751.02/1,034.10 = 657.23/x
  3. Step 3: Cross multiply
    751.02x = 1,034.10 × 657.23
  4. Step 4: Simplify right side
    751.02x = 679,636.37
  5. Step 5: Solve for x
    x = 679,636.37/751.02
  6. Step 6: Final answer
    x = 904.95

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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.