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Finding the Fourth Proportional to 653.51, 901.47 and 561.47

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Solution

The fourth proportional to 653.51, 901.47 and 561.47 is: 774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.51 : 901.47 = 561.47 : x
  2. Step 2: Convert to fraction form
    653.51/901.47 = 561.47/x
  3. Step 3: Cross multiply
    653.51x = 901.47 × 561.47
  4. Step 4: Simplify right side
    653.51x = 506,143.85
  5. Step 5: Solve for x
    x = 506,143.85/653.51
  6. Step 6: Final answer
    x = 774.51

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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.