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Finding the Fourth Proportional to 970.16, 1,453.96 and 456.24

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Solution

The fourth proportional to 970.16, 1,453.96 and 456.24 is: 683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.16 : 1,453.96 = 456.24 : x
  2. Step 2: Convert to fraction form
    970.16/1,453.96 = 456.24/x
  3. Step 3: Cross multiply
    970.16x = 1,453.96 × 456.24
  4. Step 4: Simplify right side
    970.16x = 663,354.71
  5. Step 5: Solve for x
    x = 663,354.71/970.16
  6. Step 6: Final answer
    x = 683.76

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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.