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Finding the Fourth Proportional to 616.16, 849.08 and 510.96

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Solution

The fourth proportional to 616.16, 849.08 and 510.96 is: 704.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.16 : 849.08 = 510.96 : x
  2. Step 2: Convert to fraction form
    616.16/849.08 = 510.96/x
  3. Step 3: Cross multiply
    616.16x = 849.08 × 510.96
  4. Step 4: Simplify right side
    616.16x = 433,845.92
  5. Step 5: Solve for x
    x = 433,845.92/616.16
  6. Step 6: Final answer
    x = 704.11

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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.