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Finding the Fourth Proportional to 652.14, 977.65 and 305.29

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Solution

The fourth proportional to 652.14, 977.65 and 305.29 is: 457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.14 : 977.65 = 305.29 : x
  2. Step 2: Convert to fraction form
    652.14/977.65 = 305.29/x
  3. Step 3: Cross multiply
    652.14x = 977.65 × 305.29
  4. Step 4: Simplify right side
    652.14x = 298,466.77
  5. Step 5: Solve for x
    x = 298,466.77/652.14
  6. Step 6: Final answer
    x = 457.67

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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.