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Finding the Fourth Proportional to 947.36, 1,420.16 and 869.50

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Solution

The fourth proportional to 947.36, 1,420.16 and 869.50 is: 1,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.36 : 1,420.16 = 869.50 : x
  2. Step 2: Convert to fraction form
    947.36/1,420.16 = 869.50/x
  3. Step 3: Cross multiply
    947.36x = 1,420.16 × 869.50
  4. Step 4: Simplify right side
    947.36x = 1,234,829.12
  5. Step 5: Solve for x
    x = 1,234,829.12/947.36
  6. Step 6: Final answer
    x = 1,303.44

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1.5x scale

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.