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Finding the Fourth Proportional to 1,305.64, 1,955.58 and 870.76

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Solution

The fourth proportional to 1,305.64, 1,955.58 and 870.76 is: 1,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.64 : 1,955.58 = 870.76 : x
  2. Step 2: Convert to fraction form
    1,305.64/1,955.58 = 870.76/x
  3. Step 3: Cross multiply
    1,305.64x = 1,955.58 × 870.76
  4. Step 4: Simplify right side
    1,305.64x = 1,702,840.84
  5. Step 5: Solve for x
    x = 1,702,840.84/1,305.64
  6. Step 6: Final answer
    x = 1,304.22

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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.