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Finding the Fourth Proportional to 675.02, 931.42 and 380.22

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Solution

The fourth proportional to 675.02, 931.42 and 380.22 is: 524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.02 : 931.42 = 380.22 : x
  2. Step 2: Convert to fraction form
    675.02/931.42 = 380.22/x
  3. Step 3: Cross multiply
    675.02x = 931.42 × 380.22
  4. Step 4: Simplify right side
    675.02x = 354,144.51
  5. Step 5: Solve for x
    x = 354,144.51/675.02
  6. Step 6: Final answer
    x = 524.64

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1.5x scale

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.