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Finding the Fourth Proportional to 517.64, 715.26 and 370.02

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Solution

The fourth proportional to 517.64, 715.26 and 370.02 is: 511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 715.26 = 370.02 : x
  2. Step 2: Convert to fraction form
    517.64/715.26 = 370.02/x
  3. Step 3: Cross multiply
    517.64x = 715.26 × 370.02
  4. Step 4: Simplify right side
    517.64x = 264,660.51
  5. Step 5: Solve for x
    x = 264,660.51/517.64
  6. Step 6: Final answer
    x = 511.28

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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.