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Finding the Fourth Proportional to 1,077.95, 1,487.00 and 815.51

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Solution

The fourth proportional to 1,077.95, 1,487.00 and 815.51 is: 1,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.95 : 1,487.00 = 815.51 : x
  2. Step 2: Convert to fraction form
    1,077.95/1,487.00 = 815.51/x
  3. Step 3: Cross multiply
    1,077.95x = 1,487.00 × 815.51
  4. Step 4: Simplify right side
    1,077.95x = 1,212,657.97
  5. Step 5: Solve for x
    x = 1,212,657.97/1,077.95
  6. Step 6: Final answer
    x = 1,124.97

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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.