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Finding the Fourth Proportional to 653.50, 978.32 and 572.50

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Solution

The fourth proportional to 653.50, 978.32 and 572.50 is: 857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.50 : 978.32 = 572.50 : x
  2. Step 2: Convert to fraction form
    653.50/978.32 = 572.50/x
  3. Step 3: Cross multiply
    653.50x = 978.32 × 572.50
  4. Step 4: Simplify right side
    653.50x = 560,088.20
  5. Step 5: Solve for x
    x = 560,088.20/653.50
  6. Step 6: Final answer
    x = 857.06

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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.