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Finding the Fourth Proportional to 570.12, 849.78 and 526.38

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Solution

The fourth proportional to 570.12, 849.78 and 526.38 is: 784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.12 : 849.78 = 526.38 : x
  2. Step 2: Convert to fraction form
    570.12/849.78 = 526.38/x
  3. Step 3: Cross multiply
    570.12x = 849.78 × 526.38
  4. Step 4: Simplify right side
    570.12x = 447,307.20
  5. Step 5: Solve for x
    x = 447,307.20/570.12
  6. Step 6: Final answer
    x = 784.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.