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Finding the Fourth Proportional to 864.87, 1,193.54 and 510.77

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Solution

The fourth proportional to 864.87, 1,193.54 and 510.77 is: 704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.87 : 1,193.54 = 510.77 : x
  2. Step 2: Convert to fraction form
    864.87/1,193.54 = 510.77/x
  3. Step 3: Cross multiply
    864.87x = 1,193.54 × 510.77
  4. Step 4: Simplify right side
    864.87x = 609,615.90
  5. Step 5: Solve for x
    x = 609,615.90/864.87
  6. Step 6: Final answer
    x = 704.86

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Double scale
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1.5x scale

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.