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Finding the Fourth Proportional to 1,038.42, 1,432.98 and 572.67

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Solution

The fourth proportional to 1,038.42, 1,432.98 and 572.67 is: 790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.42 : 1,432.98 = 572.67 : x
  2. Step 2: Convert to fraction form
    1,038.42/1,432.98 = 572.67/x
  3. Step 3: Cross multiply
    1,038.42x = 1,432.98 × 572.67
  4. Step 4: Simplify right side
    1,038.42x = 820,624.66
  5. Step 5: Solve for x
    x = 820,624.66/1,038.42
  6. Step 6: Final answer
    x = 790.26

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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.