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Finding the Fourth Proportional to 972.05, 1,341.81 and 657.50

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Solution

The fourth proportional to 972.05, 1,341.81 and 657.50 is: 907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.05 : 1,341.81 = 657.50 : x
  2. Step 2: Convert to fraction form
    972.05/1,341.81 = 657.50/x
  3. Step 3: Cross multiply
    972.05x = 1,341.81 × 657.50
  4. Step 4: Simplify right side
    972.05x = 882,240.08
  5. Step 5: Solve for x
    x = 882,240.08/972.05
  6. Step 6: Final answer
    x = 907.61

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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.