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Finding the Fourth Proportional to 830.49, 1,238.70 and 707.37

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Solution

The fourth proportional to 830.49, 1,238.70 and 707.37 is: 1,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.49 : 1,238.70 = 707.37 : x
  2. Step 2: Convert to fraction form
    830.49/1,238.70 = 707.37/x
  3. Step 3: Cross multiply
    830.49x = 1,238.70 × 707.37
  4. Step 4: Simplify right side
    830.49x = 876,219.22
  5. Step 5: Solve for x
    x = 876,219.22/830.49
  6. Step 6: Final answer
    x = 1,055.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.