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Finding the Fourth Proportional to 1,392.12, 2,088.59 and 870.35

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Solution

The fourth proportional to 1,392.12, 2,088.59 and 870.35 is: 1,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.12 : 2,088.59 = 870.35 : x
  2. Step 2: Convert to fraction form
    1,392.12/2,088.59 = 870.35/x
  3. Step 3: Cross multiply
    1,392.12x = 2,088.59 × 870.35
  4. Step 4: Simplify right side
    1,392.12x = 1,817,789.51
  5. Step 5: Solve for x
    x = 1,817,789.51/1,392.12
  6. Step 6: Final answer
    x = 1,305.77

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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.