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Finding the Fourth Proportional to 570.17, 854.35 and 549.52

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Solution

The fourth proportional to 570.17, 854.35 and 549.52 is: 823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.17 : 854.35 = 549.52 : x
  2. Step 2: Convert to fraction form
    570.17/854.35 = 549.52/x
  3. Step 3: Cross multiply
    570.17x = 854.35 × 549.52
  4. Step 4: Simplify right side
    570.17x = 469,478.90
  5. Step 5: Solve for x
    x = 469,478.90/570.17
  6. Step 6: Final answer
    x = 823.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.