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Finding the Fourth Proportional to 917.76, 1,375.68 and 430.08

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Solution

The fourth proportional to 917.76, 1,375.68 and 430.08 is: 644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.76 : 1,375.68 = 430.08 : x
  2. Step 2: Convert to fraction form
    917.76/1,375.68 = 430.08/x
  3. Step 3: Cross multiply
    917.76x = 1,375.68 × 430.08
  4. Step 4: Simplify right side
    917.76x = 591,652.45
  5. Step 5: Solve for x
    x = 591,652.45/917.76
  6. Step 6: Final answer
    x = 644.67

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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.