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Finding the Fourth Proportional to 652.79, 901.26 and 505.77

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Solution

The fourth proportional to 652.79, 901.26 and 505.77 is: 698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.79 : 901.26 = 505.77 : x
  2. Step 2: Convert to fraction form
    652.79/901.26 = 505.77/x
  3. Step 3: Cross multiply
    652.79x = 901.26 × 505.77
  4. Step 4: Simplify right side
    652.79x = 455,830.27
  5. Step 5: Solve for x
    x = 455,830.27/652.79
  6. Step 6: Final answer
    x = 698.29

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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.