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Finding the Fourth Proportional to 1,317.04, 1,973.25 and 944.91

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Solution

The fourth proportional to 1,317.04, 1,973.25 and 944.91 is: 1,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.04 : 1,973.25 = 944.91 : x
  2. Step 2: Convert to fraction form
    1,317.04/1,973.25 = 944.91/x
  3. Step 3: Cross multiply
    1,317.04x = 1,973.25 × 944.91
  4. Step 4: Simplify right side
    1,317.04x = 1,864,543.66
  5. Step 5: Solve for x
    x = 1,864,543.66/1,317.04
  6. Step 6: Final answer
    x = 1,415.71

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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.