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Finding the Fourth Proportional to 970.09, 1,456.76 and 637.09

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Solution

The fourth proportional to 970.09, 1,456.76 and 637.09 is: 956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.09 : 1,456.76 = 637.09 : x
  2. Step 2: Convert to fraction form
    970.09/1,456.76 = 637.09/x
  3. Step 3: Cross multiply
    970.09x = 1,456.76 × 637.09
  4. Step 4: Simplify right side
    970.09x = 928,087.23
  5. Step 5: Solve for x
    x = 928,087.23/970.09
  6. Step 6: Final answer
    x = 956.70

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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.