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Finding the Fourth Proportional to 977.32, 1,345.03 and 898.66

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Solution

The fourth proportional to 977.32, 1,345.03 and 898.66 is: 1,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.32 : 1,345.03 = 898.66 : x
  2. Step 2: Convert to fraction form
    977.32/1,345.03 = 898.66/x
  3. Step 3: Cross multiply
    977.32x = 1,345.03 × 898.66
  4. Step 4: Simplify right side
    977.32x = 1,208,724.66
  5. Step 5: Solve for x
    x = 1,208,724.66/977.32
  6. Step 6: Final answer
    x = 1,236.77

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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.