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Finding the Fourth Proportional to 652.57, 977.93 and 469.56

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Solution

The fourth proportional to 652.57, 977.93 and 469.56 is: 703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.57 : 977.93 = 469.56 : x
  2. Step 2: Convert to fraction form
    652.57/977.93 = 469.56/x
  3. Step 3: Cross multiply
    652.57x = 977.93 × 469.56
  4. Step 4: Simplify right side
    652.57x = 459,196.81
  5. Step 5: Solve for x
    x = 459,196.81/652.57
  6. Step 6: Final answer
    x = 703.67

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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.