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Finding the Fourth Proportional to 1,109.04, 1,530.45 and 711.06

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Solution

The fourth proportional to 1,109.04, 1,530.45 and 711.06 is: 981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.04 : 1,530.45 = 711.06 : x
  2. Step 2: Convert to fraction form
    1,109.04/1,530.45 = 711.06/x
  3. Step 3: Cross multiply
    1,109.04x = 1,530.45 × 711.06
  4. Step 4: Simplify right side
    1,109.04x = 1,088,241.78
  5. Step 5: Solve for x
    x = 1,088,241.78/1,109.04
  6. Step 6: Final answer
    x = 981.25

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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.