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Finding the Fourth Proportional to 651.47, 977.81 and 538.47

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Solution

The fourth proportional to 651.47, 977.81 and 538.47 is: 808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.47 : 977.81 = 538.47 : x
  2. Step 2: Convert to fraction form
    651.47/977.81 = 538.47/x
  3. Step 3: Cross multiply
    651.47x = 977.81 × 538.47
  4. Step 4: Simplify right side
    651.47x = 526,518.66
  5. Step 5: Solve for x
    x = 526,518.66/651.47
  6. Step 6: Final answer
    x = 808.21

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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.