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Finding the Fourth Proportional to 1,064.44, 1,588.11 and 947.50

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Solution

The fourth proportional to 1,064.44, 1,588.11 and 947.50 is: 1,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.44 : 1,588.11 = 947.50 : x
  2. Step 2: Convert to fraction form
    1,064.44/1,588.11 = 947.50/x
  3. Step 3: Cross multiply
    1,064.44x = 1,588.11 × 947.50
  4. Step 4: Simplify right side
    1,064.44x = 1,504,721.55
  5. Step 5: Solve for x
    x = 1,504,721.55/1,064.44
  6. Step 6: Final answer
    x = 1,413.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.