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Finding the Fourth Proportional to 652.79, 901.99 and 514.01

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Solution

The fourth proportional to 652.79, 901.99 and 514.01 is: 710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.79 : 901.99 = 514.01 : x
  2. Step 2: Convert to fraction form
    652.79/901.99 = 514.01/x
  3. Step 3: Cross multiply
    652.79x = 901.99 × 514.01
  4. Step 4: Simplify right side
    652.79x = 463,631.88
  5. Step 5: Solve for x
    x = 463,631.88/652.79
  6. Step 6: Final answer
    x = 710.23

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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.