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Finding the Fourth Proportional to 656.62, 907.06 and 597.51

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Solution

The fourth proportional to 656.62, 907.06 and 597.51 is: 825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.62 : 907.06 = 597.51 : x
  2. Step 2: Convert to fraction form
    656.62/907.06 = 597.51/x
  3. Step 3: Cross multiply
    656.62x = 907.06 × 597.51
  4. Step 4: Simplify right side
    656.62x = 541,977.42
  5. Step 5: Solve for x
    x = 541,977.42/656.62
  6. Step 6: Final answer
    x = 825.40

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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.