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Finding the Fourth Proportional to 857.61, 1,184.10 and 658.10

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Solution

The fourth proportional to 857.61, 1,184.10 and 658.10 is: 908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.61 : 1,184.10 = 658.10 : x
  2. Step 2: Convert to fraction form
    857.61/1,184.10 = 658.10/x
  3. Step 3: Cross multiply
    857.61x = 1,184.10 × 658.10
  4. Step 4: Simplify right side
    857.61x = 779,250.29
  5. Step 5: Solve for x
    x = 779,250.29/857.61
  6. Step 6: Final answer
    x = 908.63

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1.5x scale

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.