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Finding the Fourth Proportional to 927.64, 1,386.02 and 895.35

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Solution

The fourth proportional to 927.64, 1,386.02 and 895.35 is: 1,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.64 : 1,386.02 = 895.35 : x
  2. Step 2: Convert to fraction form
    927.64/1,386.02 = 895.35/x
  3. Step 3: Cross multiply
    927.64x = 1,386.02 × 895.35
  4. Step 4: Simplify right side
    927.64x = 1,240,973.01
  5. Step 5: Solve for x
    x = 1,240,973.01/927.64
  6. Step 6: Final answer
    x = 1,337.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.