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Finding the Fourth Proportional to 970.16, 1,456.64 and 923.16

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Solution

The fourth proportional to 970.16, 1,456.64 and 923.16 is: 1,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.16 : 1,456.64 = 923.16 : x
  2. Step 2: Convert to fraction form
    970.16/1,456.64 = 923.16/x
  3. Step 3: Cross multiply
    970.16x = 1,456.64 × 923.16
  4. Step 4: Simplify right side
    970.16x = 1,344,711.78
  5. Step 5: Solve for x
    x = 1,344,711.78/970.16
  6. Step 6: Final answer
    x = 1,386.07

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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.