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Finding the Fourth Proportional to 1,109.03, 1,530.19 and 710.51

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Solution

The fourth proportional to 1,109.03, 1,530.19 and 710.51 is: 980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.03 : 1,530.19 = 710.51 : x
  2. Step 2: Convert to fraction form
    1,109.03/1,530.19 = 710.51/x
  3. Step 3: Cross multiply
    1,109.03x = 1,530.19 × 710.51
  4. Step 4: Simplify right side
    1,109.03x = 1,087,208.53
  5. Step 5: Solve for x
    x = 1,087,208.53/1,109.03
  6. Step 6: Final answer
    x = 980.33

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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.