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Finding the Fourth Proportional to 867.60, 1,300.96 and 290.40

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Solution

The fourth proportional to 867.60, 1,300.96 and 290.40 is: 435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.60 : 1,300.96 = 290.40 : x
  2. Step 2: Convert to fraction form
    867.60/1,300.96 = 290.40/x
  3. Step 3: Cross multiply
    867.60x = 1,300.96 × 290.40
  4. Step 4: Simplify right side
    867.60x = 377,798.78
  5. Step 5: Solve for x
    x = 377,798.78/867.60
  6. Step 6: Final answer
    x = 435.45

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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.