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Finding the Fourth Proportional to 970.78, 1,457.10 and 423.13

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Solution

The fourth proportional to 970.78, 1,457.10 and 423.13 is: 635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.78 : 1,457.10 = 423.13 : x
  2. Step 2: Convert to fraction form
    970.78/1,457.10 = 423.13/x
  3. Step 3: Cross multiply
    970.78x = 1,457.10 × 423.13
  4. Step 4: Simplify right side
    970.78x = 616,542.72
  5. Step 5: Solve for x
    x = 616,542.72/970.78
  6. Step 6: Final answer
    x = 635.10

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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.