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Finding the Fourth Proportional to 857.10, 1,182.78 and 507.72

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Solution

The fourth proportional to 857.10, 1,182.78 and 507.72 is: 700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.10 : 1,182.78 = 507.72 : x
  2. Step 2: Convert to fraction form
    857.10/1,182.78 = 507.72/x
  3. Step 3: Cross multiply
    857.10x = 1,182.78 × 507.72
  4. Step 4: Simplify right side
    857.10x = 600,521.06
  5. Step 5: Solve for x
    x = 600,521.06/857.10
  6. Step 6: Final answer
    x = 700.64

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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.