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Finding the Fourth Proportional to 977.61, 1,349.69 and 646.32

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Solution

The fourth proportional to 977.61, 1,349.69 and 646.32 is: 892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.61 : 1,349.69 = 646.32 : x
  2. Step 2: Convert to fraction form
    977.61/1,349.69 = 646.32/x
  3. Step 3: Cross multiply
    977.61x = 1,349.69 × 646.32
  4. Step 4: Simplify right side
    977.61x = 872,328.41
  5. Step 5: Solve for x
    x = 872,328.41/977.61
  6. Step 6: Final answer
    x = 892.31

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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.