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Finding the Fourth Proportional to 1,259.25, 1,737.80 and 707.25

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Solution

The fourth proportional to 1,259.25, 1,737.80 and 707.25 is: 976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.25 : 1,737.80 = 707.25 : x
  2. Step 2: Convert to fraction form
    1,259.25/1,737.80 = 707.25/x
  3. Step 3: Cross multiply
    1,259.25x = 1,737.80 × 707.25
  4. Step 4: Simplify right side
    1,259.25x = 1,229,055.51
  5. Step 5: Solve for x
    x = 1,229,055.51/1,259.25
  6. Step 6: Final answer
    x = 976.02

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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.