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Finding the Fourth Proportional to 560.93, 774.05 and 340.00

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Solution

The fourth proportional to 560.93, 774.05 and 340.00 is: 469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.93 : 774.05 = 340.00 : x
  2. Step 2: Convert to fraction form
    560.93/774.05 = 340.00/x
  3. Step 3: Cross multiply
    560.93x = 774.05 × 340.00
  4. Step 4: Simplify right side
    560.93x = 263,178.68
  5. Step 5: Solve for x
    x = 263,178.68/560.93
  6. Step 6: Final answer
    x = 469.18

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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.