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Finding the Fourth Proportional to 776.65, 1,160.26 and 555.52

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Solution

The fourth proportional to 776.65, 1,160.26 and 555.52 is: 829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.65 : 1,160.26 = 555.52 : x
  2. Step 2: Convert to fraction form
    776.65/1,160.26 = 555.52/x
  3. Step 3: Cross multiply
    776.65x = 1,160.26 × 555.52
  4. Step 4: Simplify right side
    776.65x = 644,547.64
  5. Step 5: Solve for x
    x = 644,547.64/776.65
  6. Step 6: Final answer
    x = 829.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.