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Finding the Fourth Proportional to 946.84, 1,410.29 and 886.84

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Solution

The fourth proportional to 946.84, 1,410.29 and 886.84 is: 1,320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.84 : 1,410.29 = 886.84 : x
  2. Step 2: Convert to fraction form
    946.84/1,410.29 = 886.84/x
  3. Step 3: Cross multiply
    946.84x = 1,410.29 × 886.84
  4. Step 4: Simplify right side
    946.84x = 1,250,701.58
  5. Step 5: Solve for x
    x = 1,250,701.58/946.84
  6. Step 6: Final answer
    x = 1,320.92

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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.