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Finding the Fourth Proportional to 560.69, 772.68 and 403.04

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Solution

The fourth proportional to 560.69, 772.68 and 403.04 is: 555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.69 : 772.68 = 403.04 : x
  2. Step 2: Convert to fraction form
    560.69/772.68 = 403.04/x
  3. Step 3: Cross multiply
    560.69x = 772.68 × 403.04
  4. Step 4: Simplify right side
    560.69x = 311,417.08
  5. Step 5: Solve for x
    x = 311,417.08/560.69
  6. Step 6: Final answer
    x = 555.42

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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.