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Finding the Fourth Proportional to 970.81, 1,455.40 and 787.75

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Solution

The fourth proportional to 970.81, 1,455.40 and 787.75 is: 1,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.81 : 1,455.40 = 787.75 : x
  2. Step 2: Convert to fraction form
    970.81/1,455.40 = 787.75/x
  3. Step 3: Cross multiply
    970.81x = 1,455.40 × 787.75
  4. Step 4: Simplify right side
    970.81x = 1,146,491.35
  5. Step 5: Solve for x
    x = 1,146,491.35/970.81
  6. Step 6: Final answer
    x = 1,180.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.