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Finding the Fourth Proportional to 707.64, 974.88 and 577.50

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Solution

The fourth proportional to 707.64, 974.88 and 577.50 is: 795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.64 : 974.88 = 577.50 : x
  2. Step 2: Convert to fraction form
    707.64/974.88 = 577.50/x
  3. Step 3: Cross multiply
    707.64x = 974.88 × 577.50
  4. Step 4: Simplify right side
    707.64x = 562,993.20
  5. Step 5: Solve for x
    x = 562,993.20/707.64
  6. Step 6: Final answer
    x = 795.59

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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.