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Finding the Fourth Proportional to 913.57, 1,370.53 and 475.03

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Solution

The fourth proportional to 913.57, 1,370.53 and 475.03 is: 712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.57 : 1,370.53 = 475.03 : x
  2. Step 2: Convert to fraction form
    913.57/1,370.53 = 475.03/x
  3. Step 3: Cross multiply
    913.57x = 1,370.53 × 475.03
  4. Step 4: Simplify right side
    913.57x = 651,045.17
  5. Step 5: Solve for x
    x = 651,045.17/913.57
  6. Step 6: Final answer
    x = 712.64

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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.