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Finding the Fourth Proportional to 1,315.45, 1,973.16 and 760.99

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Solution

The fourth proportional to 1,315.45, 1,973.16 and 760.99 is: 1,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.45 : 1,973.16 = 760.99 : x
  2. Step 2: Convert to fraction form
    1,315.45/1,973.16 = 760.99/x
  3. Step 3: Cross multiply
    1,315.45x = 1,973.16 × 760.99
  4. Step 4: Simplify right side
    1,315.45x = 1,501,557.20
  5. Step 5: Solve for x
    x = 1,501,557.20/1,315.45
  6. Step 6: Final answer
    x = 1,141.48

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1.5x scale

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.