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Finding the Fourth Proportional to 964.76, 1,330.14 and 715.94

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Solution

The fourth proportional to 964.76, 1,330.14 and 715.94 is: 987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.76 : 1,330.14 = 715.94 : x
  2. Step 2: Convert to fraction form
    964.76/1,330.14 = 715.94/x
  3. Step 3: Cross multiply
    964.76x = 1,330.14 × 715.94
  4. Step 4: Simplify right side
    964.76x = 952,300.43
  5. Step 5: Solve for x
    x = 952,300.43/964.76
  6. Step 6: Final answer
    x = 987.09

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1.5x scale

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.