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Finding the Fourth Proportional to 538.77, 807.15 and 456.51

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Solution

The fourth proportional to 538.77, 807.15 and 456.51 is: 683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.77 : 807.15 = 456.51 : x
  2. Step 2: Convert to fraction form
    538.77/807.15 = 456.51/x
  3. Step 3: Cross multiply
    538.77x = 807.15 × 456.51
  4. Step 4: Simplify right side
    538.77x = 368,472.05
  5. Step 5: Solve for x
    x = 368,472.05/538.77
  6. Step 6: Final answer
    x = 683.91

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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.