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Finding the Fourth Proportional to 655.74, 904.86 and 407.01

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Solution

The fourth proportional to 655.74, 904.86 and 407.01 is: 561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.74 : 904.86 = 407.01 : x
  2. Step 2: Convert to fraction form
    655.74/904.86 = 407.01/x
  3. Step 3: Cross multiply
    655.74x = 904.86 × 407.01
  4. Step 4: Simplify right side
    655.74x = 368,287.07
  5. Step 5: Solve for x
    x = 368,287.07/655.74
  6. Step 6: Final answer
    x = 561.64

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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.