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Finding the Fourth Proportional to 1,069.70, 1,603.20 and 953.60

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Solution

The fourth proportional to 1,069.70, 1,603.20 and 953.60 is: 1,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.70 : 1,603.20 = 953.60 : x
  2. Step 2: Convert to fraction form
    1,069.70/1,603.20 = 953.60/x
  3. Step 3: Cross multiply
    1,069.70x = 1,603.20 × 953.60
  4. Step 4: Simplify right side
    1,069.70x = 1,528,811.52
  5. Step 5: Solve for x
    x = 1,528,811.52/1,069.70
  6. Step 6: Final answer
    x = 1,429.20

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1.5x scale

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.