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Finding the Fourth Proportional to 707.04, 974.16 and 637.20

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Solution

The fourth proportional to 707.04, 974.16 and 637.20 is: 877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.04 : 974.16 = 637.20 : x
  2. Step 2: Convert to fraction form
    707.04/974.16 = 637.20/x
  3. Step 3: Cross multiply
    707.04x = 974.16 × 637.20
  4. Step 4: Simplify right side
    707.04x = 620,734.75
  5. Step 5: Solve for x
    x = 620,734.75/707.04
  6. Step 6: Final answer
    x = 877.93

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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.