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Finding the Fourth Proportional to 1,533.40, 2,116.13 and 870.22

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Solution

The fourth proportional to 1,533.40, 2,116.13 and 870.22 is: 1,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.40 : 2,116.13 = 870.22 : x
  2. Step 2: Convert to fraction form
    1,533.40/2,116.13 = 870.22/x
  3. Step 3: Cross multiply
    1,533.40x = 2,116.13 × 870.22
  4. Step 4: Simplify right side
    1,533.40x = 1,841,498.65
  5. Step 5: Solve for x
    x = 1,841,498.65/1,533.40
  6. Step 6: Final answer
    x = 1,200.93

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1.5x scale

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.