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Finding the Fourth Proportional to 972.36, 1,341.18 and 776.34

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Solution

The fourth proportional to 972.36, 1,341.18 and 776.34 is: 1,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.36 : 1,341.18 = 776.34 : x
  2. Step 2: Convert to fraction form
    972.36/1,341.18 = 776.34/x
  3. Step 3: Cross multiply
    972.36x = 1,341.18 × 776.34
  4. Step 4: Simplify right side
    972.36x = 1,041,211.68
  5. Step 5: Solve for x
    x = 1,041,211.68/972.36
  6. Step 6: Final answer
    x = 1,070.81

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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.