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Finding the Fourth Proportional to 991.04, 1,368.25 and 711.05

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Solution

The fourth proportional to 991.04, 1,368.25 and 711.05 is: 981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.04 : 1,368.25 = 711.05 : x
  2. Step 2: Convert to fraction form
    991.04/1,368.25 = 711.05/x
  3. Step 3: Cross multiply
    991.04x = 1,368.25 × 711.05
  4. Step 4: Simplify right side
    991.04x = 972,895.81
  5. Step 5: Solve for x
    x = 972,895.81/991.04
  6. Step 6: Final answer
    x = 981.69

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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.