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Finding the Fourth Proportional to 925.70, 1,388.55 and 561.20

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Solution

The fourth proportional to 925.70, 1,388.55 and 561.20 is: 841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.70 : 1,388.55 = 561.20 : x
  2. Step 2: Convert to fraction form
    925.70/1,388.55 = 561.20/x
  3. Step 3: Cross multiply
    925.70x = 1,388.55 × 561.20
  4. Step 4: Simplify right side
    925.70x = 779,254.26
  5. Step 5: Solve for x
    x = 779,254.26/925.70
  6. Step 6: Final answer
    x = 841.80

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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.