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Finding the Fourth Proportional to 1,013, 1,397.36 and 659.02

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Solution

The fourth proportional to 1,013, 1,397.36 and 659.02 is: 909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013 : 1,397.36 = 659.02 : x
  2. Step 2: Convert to fraction form
    1,013/1,397.36 = 659.02/x
  3. Step 3: Cross multiply
    1,013x = 1,397.36 × 659.02
  4. Step 4: Simplify right side
    1,013x = 920,888.19
  5. Step 5: Solve for x
    x = 920,888.19/1,013
  6. Step 6: Final answer
    x = 909.07

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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.