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Finding the Fourth Proportional to 1,069.40, 1,595.08 and 975.08

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Solution

The fourth proportional to 1,069.40, 1,595.08 and 975.08 is: 1,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.40 : 1,595.08 = 975.08 : x
  2. Step 2: Convert to fraction form
    1,069.40/1,595.08 = 975.08/x
  3. Step 3: Cross multiply
    1,069.40x = 1,595.08 × 975.08
  4. Step 4: Simplify right side
    1,069.40x = 1,555,330.61
  5. Step 5: Solve for x
    x = 1,555,330.61/1,069.40
  6. Step 6: Final answer
    x = 1,454.40

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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.