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Finding the Fourth Proportional to 946.72, 1,305.36 and 877.60

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Solution

The fourth proportional to 946.72, 1,305.36 and 877.60 is: 1,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.72 : 1,305.36 = 877.60 : x
  2. Step 2: Convert to fraction form
    946.72/1,305.36 = 877.60/x
  3. Step 3: Cross multiply
    946.72x = 1,305.36 × 877.60
  4. Step 4: Simplify right side
    946.72x = 1,145,583.94
  5. Step 5: Solve for x
    x = 1,145,583.94/946.72
  6. Step 6: Final answer
    x = 1,210.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.