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Finding the Fourth Proportional to 707.02, 975.64 and 392.20

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Solution

The fourth proportional to 707.02, 975.64 and 392.20 is: 541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.02 : 975.64 = 392.20 : x
  2. Step 2: Convert to fraction form
    707.02/975.64 = 392.20/x
  3. Step 3: Cross multiply
    707.02x = 975.64 × 392.20
  4. Step 4: Simplify right side
    707.02x = 382,646.01
  5. Step 5: Solve for x
    x = 382,646.01/707.02
  6. Step 6: Final answer
    x = 541.21

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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.