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Finding the Fourth Proportional to 653.04, 899.51 and 548.01

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Solution

The fourth proportional to 653.04, 899.51 and 548.01 is: 754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 899.51 = 548.01 : x
  2. Step 2: Convert to fraction form
    653.04/899.51 = 548.01/x
  3. Step 3: Cross multiply
    653.04x = 899.51 × 548.01
  4. Step 4: Simplify right side
    653.04x = 492,937.74
  5. Step 5: Solve for x
    x = 492,937.74/653.04
  6. Step 6: Final answer
    x = 754.84

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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.