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Finding the Fourth Proportional to 971.43, 1,457.75 and 647.02

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Solution

The fourth proportional to 971.43, 1,457.75 and 647.02 is: 970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.43 : 1,457.75 = 647.02 : x
  2. Step 2: Convert to fraction form
    971.43/1,457.75 = 647.02/x
  3. Step 3: Cross multiply
    971.43x = 1,457.75 × 647.02
  4. Step 4: Simplify right side
    971.43x = 943,193.41
  5. Step 5: Solve for x
    x = 943,193.41/971.43
  6. Step 6: Final answer
    x = 970.93

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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.