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Finding the Fourth Proportional to 948.24, 1,420.74 and 515.70

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Solution

The fourth proportional to 948.24, 1,420.74 and 515.70 is: 772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.24 : 1,420.74 = 515.70 : x
  2. Step 2: Convert to fraction form
    948.24/1,420.74 = 515.70/x
  3. Step 3: Cross multiply
    948.24x = 1,420.74 × 515.70
  4. Step 4: Simplify right side
    948.24x = 732,675.62
  5. Step 5: Solve for x
    x = 732,675.62/948.24
  6. Step 6: Final answer
    x = 772.67

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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.