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Finding the Fourth Proportional to 652.32, 900.50 and 403.78

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Solution

The fourth proportional to 652.32, 900.50 and 403.78 is: 557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.32 : 900.50 = 403.78 : x
  2. Step 2: Convert to fraction form
    652.32/900.50 = 403.78/x
  3. Step 3: Cross multiply
    652.32x = 900.50 × 403.78
  4. Step 4: Simplify right side
    652.32x = 363,603.89
  5. Step 5: Solve for x
    x = 363,603.89/652.32
  6. Step 6: Final answer
    x = 557.40

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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.