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Finding the Fourth Proportional to 1,307.91, 1,804.93 and 718.46

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Solution

The fourth proportional to 1,307.91, 1,804.93 and 718.46 is: 991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.91 : 1,804.93 = 718.46 : x
  2. Step 2: Convert to fraction form
    1,307.91/1,804.93 = 718.46/x
  3. Step 3: Cross multiply
    1,307.91x = 1,804.93 × 718.46
  4. Step 4: Simplify right side
    1,307.91x = 1,296,770.01
  5. Step 5: Solve for x
    x = 1,296,770.01/1,307.91
  6. Step 6: Final answer
    x = 991.48

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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.