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Finding the Fourth Proportional to 657.77, 906.53 and 471.26

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Solution

The fourth proportional to 657.77, 906.53 and 471.26 is: 649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.77 : 906.53 = 471.26 : x
  2. Step 2: Convert to fraction form
    657.77/906.53 = 471.26/x
  3. Step 3: Cross multiply
    657.77x = 906.53 × 471.26
  4. Step 4: Simplify right side
    657.77x = 427,211.24
  5. Step 5: Solve for x
    x = 427,211.24/657.77
  6. Step 6: Final answer
    x = 649.49

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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.