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Finding the Fourth Proportional to 838.04, 1,159.48 and 713.32

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Solution

The fourth proportional to 838.04, 1,159.48 and 713.32 is: 986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.04 : 1,159.48 = 713.32 : x
  2. Step 2: Convert to fraction form
    838.04/1,159.48 = 713.32/x
  3. Step 3: Cross multiply
    838.04x = 1,159.48 × 713.32
  4. Step 4: Simplify right side
    838.04x = 827,080.27
  5. Step 5: Solve for x
    x = 827,080.27/838.04
  6. Step 6: Final answer
    x = 986.92

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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.