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Finding the Fourth Proportional to 1,285.07, 1,774.20 and 953.07

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Solution

The fourth proportional to 1,285.07, 1,774.20 and 953.07 is: 1,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.07 : 1,774.20 = 953.07 : x
  2. Step 2: Convert to fraction form
    1,285.07/1,774.20 = 953.07/x
  3. Step 3: Cross multiply
    1,285.07x = 1,774.20 × 953.07
  4. Step 4: Simplify right side
    1,285.07x = 1,690,933.71
  5. Step 5: Solve for x
    x = 1,690,933.71/1,285.07
  6. Step 6: Final answer
    x = 1,315.84

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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.