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Finding the Fourth Proportional to 1,071.48, 1,485.57 and 1,035.48

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Solution

The fourth proportional to 1,071.48, 1,485.57 and 1,035.48 is: 1,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.48 : 1,485.57 = 1,035.48 : x
  2. Step 2: Convert to fraction form
    1,071.48/1,485.57 = 1,035.48/x
  3. Step 3: Cross multiply
    1,071.48x = 1,485.57 × 1,035.48
  4. Step 4: Simplify right side
    1,071.48x = 1,538,278.02
  5. Step 5: Solve for x
    x = 1,538,278.02/1,071.48
  6. Step 6: Final answer
    x = 1,435.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.