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Finding the Fourth Proportional to 572.80, 860.80 and 502.40

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Solution

The fourth proportional to 572.80, 860.80 and 502.40 is: 755.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.80 : 860.80 = 502.40 : x
  2. Step 2: Convert to fraction form
    572.80/860.80 = 502.40/x
  3. Step 3: Cross multiply
    572.80x = 860.80 × 502.40
  4. Step 4: Simplify right side
    572.80x = 432,465.92
  5. Step 5: Solve for x
    x = 432,465.92/572.80
  6. Step 6: Final answer
    x = 755.00

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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.