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Finding the Fourth Proportional to 1,054.75, 1,580.15 and 975.19

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Solution

The fourth proportional to 1,054.75, 1,580.15 and 975.19 is: 1,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.75 : 1,580.15 = 975.19 : x
  2. Step 2: Convert to fraction form
    1,054.75/1,580.15 = 975.19/x
  3. Step 3: Cross multiply
    1,054.75x = 1,580.15 × 975.19
  4. Step 4: Simplify right side
    1,054.75x = 1,540,941.60
  5. Step 5: Solve for x
    x = 1,540,941.60/1,054.75
  6. Step 6: Final answer
    x = 1,460.95

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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.