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Finding the Fourth Proportional to 970.72, 1,455.96 and 277.45

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Solution

The fourth proportional to 970.72, 1,455.96 and 277.45 is: 416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.72 : 1,455.96 = 277.45 : x
  2. Step 2: Convert to fraction form
    970.72/1,455.96 = 277.45/x
  3. Step 3: Cross multiply
    970.72x = 1,455.96 × 277.45
  4. Step 4: Simplify right side
    970.72x = 403,956.10
  5. Step 5: Solve for x
    x = 403,956.10/970.72
  6. Step 6: Final answer
    x = 416.14

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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.