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Finding the Fourth Proportional to 652.16, 899.90 and 390.14

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Solution

The fourth proportional to 652.16, 899.90 and 390.14 is: 538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.16 : 899.90 = 390.14 : x
  2. Step 2: Convert to fraction form
    652.16/899.90 = 390.14/x
  3. Step 3: Cross multiply
    652.16x = 899.90 × 390.14
  4. Step 4: Simplify right side
    652.16x = 351,085.04
  5. Step 5: Solve for x
    x = 351,085.04/652.16
  6. Step 6: Final answer
    x = 538.34

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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.