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Finding the Fourth Proportional to 656.90, 904.65 and 598.49

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Solution

The fourth proportional to 656.90, 904.65 and 598.49 is: 824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.90 : 904.65 = 598.49 : x
  2. Step 2: Convert to fraction form
    656.90/904.65 = 598.49/x
  3. Step 3: Cross multiply
    656.90x = 904.65 × 598.49
  4. Step 4: Simplify right side
    656.90x = 541,419.46
  5. Step 5: Solve for x
    x = 541,419.46/656.90
  6. Step 6: Final answer
    x = 824.21

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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.