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Finding the Fourth Proportional to 560.40, 774.49 and 435.93

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Solution

The fourth proportional to 560.40, 774.49 and 435.93 is: 602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.40 : 774.49 = 435.93 : x
  2. Step 2: Convert to fraction form
    560.40/774.49 = 435.93/x
  3. Step 3: Cross multiply
    560.40x = 774.49 × 435.93
  4. Step 4: Simplify right side
    560.40x = 337,623.43
  5. Step 5: Solve for x
    x = 337,623.43/560.40
  6. Step 6: Final answer
    x = 602.47

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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.