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Finding the Fourth Proportional to 848.16, 1,170.24 and 498.78

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Solution

The fourth proportional to 848.16, 1,170.24 and 498.78 is: 688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.16 : 1,170.24 = 498.78 : x
  2. Step 2: Convert to fraction form
    848.16/1,170.24 = 498.78/x
  3. Step 3: Cross multiply
    848.16x = 1,170.24 × 498.78
  4. Step 4: Simplify right side
    848.16x = 583,692.31
  5. Step 5: Solve for x
    x = 583,692.31/848.16
  6. Step 6: Final answer
    x = 688.19

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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.