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Finding the Fourth Proportional to 526.77, 786.47 and 435.65

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Solution

The fourth proportional to 526.77, 786.47 and 435.65 is: 650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.77 : 786.47 = 435.65 : x
  2. Step 2: Convert to fraction form
    526.77/786.47 = 435.65/x
  3. Step 3: Cross multiply
    526.77x = 786.47 × 435.65
  4. Step 4: Simplify right side
    526.77x = 342,619.54
  5. Step 5: Solve for x
    x = 342,619.54/526.77
  6. Step 6: Final answer
    x = 650.42

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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.