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Finding the Fourth Proportional to 1,271.30, 1,754.26 and 711.59

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Solution

The fourth proportional to 1,271.30, 1,754.26 and 711.59 is: 981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.30 : 1,754.26 = 711.59 : x
  2. Step 2: Convert to fraction form
    1,271.30/1,754.26 = 711.59/x
  3. Step 3: Cross multiply
    1,271.30x = 1,754.26 × 711.59
  4. Step 4: Simplify right side
    1,271.30x = 1,248,303.32
  5. Step 5: Solve for x
    x = 1,248,303.32/1,271.30
  6. Step 6: Final answer
    x = 981.91

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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.