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Finding the Fourth Proportional to 700.86, 1,051.30 and 412.50

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Solution

The fourth proportional to 700.86, 1,051.30 and 412.50 is: 618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.86 : 1,051.30 = 412.50 : x
  2. Step 2: Convert to fraction form
    700.86/1,051.30 = 412.50/x
  3. Step 3: Cross multiply
    700.86x = 1,051.30 × 412.50
  4. Step 4: Simplify right side
    700.86x = 433,661.25
  5. Step 5: Solve for x
    x = 433,661.25/700.86
  6. Step 6: Final answer
    x = 618.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.