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Finding the Fourth Proportional to 970.06, 1,455.10 and 421.96

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Solution

The fourth proportional to 970.06, 1,455.10 and 421.96 is: 632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.06 : 1,455.10 = 421.96 : x
  2. Step 2: Convert to fraction form
    970.06/1,455.10 = 421.96/x
  3. Step 3: Cross multiply
    970.06x = 1,455.10 × 421.96
  4. Step 4: Simplify right side
    970.06x = 613,994.00
  5. Step 5: Solve for x
    x = 613,994.00/970.06
  6. Step 6: Final answer
    x = 632.94

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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.