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Finding the Fourth Proportional to 972.81, 1,459.22 and 510.30

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Solution

The fourth proportional to 972.81, 1,459.22 and 510.30 is: 765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.81 : 1,459.22 = 510.30 : x
  2. Step 2: Convert to fraction form
    972.81/1,459.22 = 510.30/x
  3. Step 3: Cross multiply
    972.81x = 1,459.22 × 510.30
  4. Step 4: Simplify right side
    972.81x = 744,637.41
  5. Step 5: Solve for x
    x = 744,637.41/972.81
  6. Step 6: Final answer
    x = 765.45

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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.