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Finding the Fourth Proportional to 972.90, 1,459.60 and 561.30

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Solution

The fourth proportional to 972.90, 1,459.60 and 561.30 is: 842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.90 : 1,459.60 = 561.30 : x
  2. Step 2: Convert to fraction form
    972.90/1,459.60 = 561.30/x
  3. Step 3: Cross multiply
    972.90x = 1,459.60 × 561.30
  4. Step 4: Simplify right side
    972.90x = 819,273.48
  5. Step 5: Solve for x
    x = 819,273.48/972.90
  6. Step 6: Final answer
    x = 842.09

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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.