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Finding the Fourth Proportional to 652.04, 898.08 and 477.08

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Solution

The fourth proportional to 652.04, 898.08 and 477.08 is: 657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.04 : 898.08 = 477.08 : x
  2. Step 2: Convert to fraction form
    652.04/898.08 = 477.08/x
  3. Step 3: Cross multiply
    652.04x = 898.08 × 477.08
  4. Step 4: Simplify right side
    652.04x = 428,456.01
  5. Step 5: Solve for x
    x = 428,456.01/652.04
  6. Step 6: Final answer
    x = 657.10

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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.