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Finding the Fourth Proportional to 971.30, 1,457.90 and 693.98

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Solution

The fourth proportional to 971.30, 1,457.90 and 693.98 is: 1,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.30 : 1,457.90 = 693.98 : x
  2. Step 2: Convert to fraction form
    971.30/1,457.90 = 693.98/x
  3. Step 3: Cross multiply
    971.30x = 1,457.90 × 693.98
  4. Step 4: Simplify right side
    971.30x = 1,011,753.44
  5. Step 5: Solve for x
    x = 1,011,753.44/971.30
  6. Step 6: Final answer
    x = 1,041.65

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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.