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Finding the Fourth Proportional to 970.42, 1,455.49 and 415.35

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Solution

The fourth proportional to 970.42, 1,455.49 and 415.35 is: 622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.42 : 1,455.49 = 415.35 : x
  2. Step 2: Convert to fraction form
    970.42/1,455.49 = 415.35/x
  3. Step 3: Cross multiply
    970.42x = 1,455.49 × 415.35
  4. Step 4: Simplify right side
    970.42x = 604,537.77
  5. Step 5: Solve for x
    x = 604,537.77/970.42
  6. Step 6: Final answer
    x = 622.97

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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.