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Finding the Fourth Proportional to 1,533.64, 2,116.29 and 870.46

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Solution

The fourth proportional to 1,533.64, 2,116.29 and 870.46 is: 1,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.64 : 2,116.29 = 870.46 : x
  2. Step 2: Convert to fraction form
    1,533.64/2,116.29 = 870.46/x
  3. Step 3: Cross multiply
    1,533.64x = 2,116.29 × 870.46
  4. Step 4: Simplify right side
    1,533.64x = 1,842,145.79
  5. Step 5: Solve for x
    x = 1,842,145.79/1,533.64
  6. Step 6: Final answer
    x = 1,201.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.