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Finding the Fourth Proportional to 707.14, 975.60 and 427.45

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Solution

The fourth proportional to 707.14, 975.60 and 427.45 is: 589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.14 : 975.60 = 427.45 : x
  2. Step 2: Convert to fraction form
    707.14/975.60 = 427.45/x
  3. Step 3: Cross multiply
    707.14x = 975.60 × 427.45
  4. Step 4: Simplify right side
    707.14x = 417,020.22
  5. Step 5: Solve for x
    x = 417,020.22/707.14
  6. Step 6: Final answer
    x = 589.73

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1.5x scale

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.