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Finding the Fourth Proportional to 657.08, 907.32 and 421.18

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Solution

The fourth proportional to 657.08, 907.32 and 421.18 is: 581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.08 : 907.32 = 421.18 : x
  2. Step 2: Convert to fraction form
    657.08/907.32 = 421.18/x
  3. Step 3: Cross multiply
    657.08x = 907.32 × 421.18
  4. Step 4: Simplify right side
    657.08x = 382,145.04
  5. Step 5: Solve for x
    x = 382,145.04/657.08
  6. Step 6: Final answer
    x = 581.58

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1.5x scale

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.