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Finding the Fourth Proportional to 651.12, 975.14 and 456.30

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Solution

The fourth proportional to 651.12, 975.14 and 456.30 is: 683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.12 : 975.14 = 456.30 : x
  2. Step 2: Convert to fraction form
    651.12/975.14 = 456.30/x
  3. Step 3: Cross multiply
    651.12x = 975.14 × 456.30
  4. Step 4: Simplify right side
    651.12x = 444,956.38
  5. Step 5: Solve for x
    x = 444,956.38/651.12
  6. Step 6: Final answer
    x = 683.37

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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.