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Finding the Fourth Proportional to 972.86, 1,459.06 and 478.76

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Solution

The fourth proportional to 972.86, 1,459.06 and 478.76 is: 718.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.86 : 1,459.06 = 478.76 : x
  2. Step 2: Convert to fraction form
    972.86/1,459.06 = 478.76/x
  3. Step 3: Cross multiply
    972.86x = 1,459.06 × 478.76
  4. Step 4: Simplify right side
    972.86x = 698,541.97
  5. Step 5: Solve for x
    x = 698,541.97/972.86
  6. Step 6: Final answer
    x = 718.03

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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.