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Finding the Fourth Proportional to 972.34, 1,459.07 and 510.54

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Solution

The fourth proportional to 972.34, 1,459.07 and 510.54 is: 766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.34 : 1,459.07 = 510.54 : x
  2. Step 2: Convert to fraction form
    972.34/1,459.07 = 510.54/x
  3. Step 3: Cross multiply
    972.34x = 1,459.07 × 510.54
  4. Step 4: Simplify right side
    972.34x = 744,911.05
  5. Step 5: Solve for x
    x = 744,911.05/972.34
  6. Step 6: Final answer
    x = 766.10

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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.