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Finding the Fourth Proportional to 985.94, 1,470.58 and 928.84

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Solution

The fourth proportional to 985.94, 1,470.58 and 928.84 is: 1,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.94 : 1,470.58 = 928.84 : x
  2. Step 2: Convert to fraction form
    985.94/1,470.58 = 928.84/x
  3. Step 3: Cross multiply
    985.94x = 1,470.58 × 928.84
  4. Step 4: Simplify right side
    985.94x = 1,365,933.53
  5. Step 5: Solve for x
    x = 1,365,933.53/985.94
  6. Step 6: Final answer
    x = 1,385.41

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1.5x scale

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.