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Finding the Fourth Proportional to 657.55, 907.70 and 395.59

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Solution

The fourth proportional to 657.55, 907.70 and 395.59 is: 546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.55 : 907.70 = 395.59 : x
  2. Step 2: Convert to fraction form
    657.55/907.70 = 395.59/x
  3. Step 3: Cross multiply
    657.55x = 907.70 × 395.59
  4. Step 4: Simplify right side
    657.55x = 359,077.04
  5. Step 5: Solve for x
    x = 359,077.04/657.55
  6. Step 6: Final answer
    x = 546.08

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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.