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Finding the Fourth Proportional to 1,315.26, 1,970.01 and 801.18

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Solution

The fourth proportional to 1,315.26, 1,970.01 and 801.18 is: 1,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.26 : 1,970.01 = 801.18 : x
  2. Step 2: Convert to fraction form
    1,315.26/1,970.01 = 801.18/x
  3. Step 3: Cross multiply
    1,315.26x = 1,970.01 × 801.18
  4. Step 4: Simplify right side
    1,315.26x = 1,578,332.61
  5. Step 5: Solve for x
    x = 1,578,332.61/1,315.26
  6. Step 6: Final answer
    x = 1,200.02

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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.