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Finding the Fourth Proportional to 1,303.34, 1,798.63 and 713.86

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Solution

The fourth proportional to 1,303.34, 1,798.63 and 713.86 is: 985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.34 : 1,798.63 = 713.86 : x
  2. Step 2: Convert to fraction form
    1,303.34/1,798.63 = 713.86/x
  3. Step 3: Cross multiply
    1,303.34x = 1,798.63 × 713.86
  4. Step 4: Simplify right side
    1,303.34x = 1,283,963.73
  5. Step 5: Solve for x
    x = 1,283,963.73/1,303.34
  6. Step 6: Final answer
    x = 985.14

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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.