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Finding the Fourth Proportional to 700.10, 1,047.90 and 465.30

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Solution

The fourth proportional to 700.10, 1,047.90 and 465.30 is: 696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.10 : 1,047.90 = 465.30 : x
  2. Step 2: Convert to fraction form
    700.10/1,047.90 = 465.30/x
  3. Step 3: Cross multiply
    700.10x = 1,047.90 × 465.30
  4. Step 4: Simplify right side
    700.10x = 487,583.83
  5. Step 5: Solve for x
    x = 487,583.83/700.10
  6. Step 6: Final answer
    x = 696.45

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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.