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Finding the Fourth Proportional to 560.99, 774.08 and 312.31

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Solution

The fourth proportional to 560.99, 774.08 and 312.31 is: 430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.99 : 774.08 = 312.31 : x
  2. Step 2: Convert to fraction form
    560.99/774.08 = 312.31/x
  3. Step 3: Cross multiply
    560.99x = 774.08 × 312.31
  4. Step 4: Simplify right side
    560.99x = 241,752.92
  5. Step 5: Solve for x
    x = 241,752.92/560.99
  6. Step 6: Final answer
    x = 430.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.