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Finding the Fourth Proportional to 970.95, 1,455.93 and 576.03

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Solution

The fourth proportional to 970.95, 1,455.93 and 576.03 is: 863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.95 : 1,455.93 = 576.03 : x
  2. Step 2: Convert to fraction form
    970.95/1,455.93 = 576.03/x
  3. Step 3: Cross multiply
    970.95x = 1,455.93 × 576.03
  4. Step 4: Simplify right side
    970.95x = 838,659.36
  5. Step 5: Solve for x
    x = 838,659.36/970.95
  6. Step 6: Final answer
    x = 863.75

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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.