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Finding the Fourth Proportional to 913.58, 1,368.25 and 707.49

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Solution

The fourth proportional to 913.58, 1,368.25 and 707.49 is: 1,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.58 : 1,368.25 = 707.49 : x
  2. Step 2: Convert to fraction form
    913.58/1,368.25 = 707.49/x
  3. Step 3: Cross multiply
    913.58x = 1,368.25 × 707.49
  4. Step 4: Simplify right side
    913.58x = 968,021.42
  5. Step 5: Solve for x
    x = 968,021.42/913.58
  6. Step 6: Final answer
    x = 1,059.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.