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Finding the Fourth Proportional to 971.86, 1,339.60 and 657.02

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Solution

The fourth proportional to 971.86, 1,339.60 and 657.02 is: 905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.86 : 1,339.60 = 657.02 : x
  2. Step 2: Convert to fraction form
    971.86/1,339.60 = 657.02/x
  3. Step 3: Cross multiply
    971.86x = 1,339.60 × 657.02
  4. Step 4: Simplify right side
    971.86x = 880,140.71
  5. Step 5: Solve for x
    x = 880,140.71/971.86
  6. Step 6: Final answer
    x = 905.63

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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.