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Finding the Fourth Proportional to 971.40, 1,456.08 and 509.70

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Solution

The fourth proportional to 971.40, 1,456.08 and 509.70 is: 764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.40 : 1,456.08 = 509.70 : x
  2. Step 2: Convert to fraction form
    971.40/1,456.08 = 509.70/x
  3. Step 3: Cross multiply
    971.40x = 1,456.08 × 509.70
  4. Step 4: Simplify right side
    971.40x = 742,163.98
  5. Step 5: Solve for x
    x = 742,163.98/971.40
  6. Step 6: Final answer
    x = 764.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.