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Finding the Fourth Proportional to 755.16, 1,041.68 and 475.30

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Solution

The fourth proportional to 755.16, 1,041.68 and 475.30 is: 655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.16 : 1,041.68 = 475.30 : x
  2. Step 2: Convert to fraction form
    755.16/1,041.68 = 475.30/x
  3. Step 3: Cross multiply
    755.16x = 1,041.68 × 475.30
  4. Step 4: Simplify right side
    755.16x = 495,110.50
  5. Step 5: Solve for x
    x = 495,110.50/755.16
  6. Step 6: Final answer
    x = 655.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.