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Finding the Fourth Proportional to 972.59, 1,341.68 and 678.11

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Solution

The fourth proportional to 972.59, 1,341.68 and 678.11 is: 935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.59 : 1,341.68 = 678.11 : x
  2. Step 2: Convert to fraction form
    972.59/1,341.68 = 678.11/x
  3. Step 3: Cross multiply
    972.59x = 1,341.68 × 678.11
  4. Step 4: Simplify right side
    972.59x = 909,803.23
  5. Step 5: Solve for x
    x = 909,803.23/972.59
  6. Step 6: Final answer
    x = 935.44

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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.