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Finding the Fourth Proportional to 901.98, 1,345.91 and 870.66

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Solution

The fourth proportional to 901.98, 1,345.91 and 870.66 is: 1,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.98 : 1,345.91 = 870.66 : x
  2. Step 2: Convert to fraction form
    901.98/1,345.91 = 870.66/x
  3. Step 3: Cross multiply
    901.98x = 1,345.91 × 870.66
  4. Step 4: Simplify right side
    901.98x = 1,171,825.65
  5. Step 5: Solve for x
    x = 1,171,825.65/901.98
  6. Step 6: Final answer
    x = 1,299.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.