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Finding the Fourth Proportional to 755.01, 1,130.36 and 465.57

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Solution

The fourth proportional to 755.01, 1,130.36 and 465.57 is: 697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.01 : 1,130.36 = 465.57 : x
  2. Step 2: Convert to fraction form
    755.01/1,130.36 = 465.57/x
  3. Step 3: Cross multiply
    755.01x = 1,130.36 × 465.57
  4. Step 4: Simplify right side
    755.01x = 526,259.38
  5. Step 5: Solve for x
    x = 526,259.38/755.01
  6. Step 6: Final answer
    x = 697.02

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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.