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Finding the Fourth Proportional to 500.08, 689.64 and 313.31

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Solution

The fourth proportional to 500.08, 689.64 and 313.31 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.08 : 689.64 = 313.31 : x
  2. Step 2: Convert to fraction form
    500.08/689.64 = 313.31/x
  3. Step 3: Cross multiply
    500.08x = 689.64 × 313.31
  4. Step 4: Simplify right side
    500.08x = 216,071.11
  5. Step 5: Solve for x
    x = 216,071.11/500.08
  6. Step 6: Final answer
    x = 432.07

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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.