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Finding the Fourth Proportional to 970.04, 1,454.64 and 311.75

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Solution

The fourth proportional to 970.04, 1,454.64 and 311.75 is: 467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.04 : 1,454.64 = 311.75 : x
  2. Step 2: Convert to fraction form
    970.04/1,454.64 = 311.75/x
  3. Step 3: Cross multiply
    970.04x = 1,454.64 × 311.75
  4. Step 4: Simplify right side
    970.04x = 453,484.02
  5. Step 5: Solve for x
    x = 453,484.02/970.04
  6. Step 6: Final answer
    x = 467.49

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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.