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Finding the Fourth Proportional to 616.76, 849.69 and 429.91

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Solution

The fourth proportional to 616.76, 849.69 and 429.91 is: 592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.76 : 849.69 = 429.91 : x
  2. Step 2: Convert to fraction form
    616.76/849.69 = 429.91/x
  3. Step 3: Cross multiply
    616.76x = 849.69 × 429.91
  4. Step 4: Simplify right side
    616.76x = 365,288.08
  5. Step 5: Solve for x
    x = 365,288.08/616.76
  6. Step 6: Final answer
    x = 592.27

Related Problems

Find fourth proportional to 308.38, 424.84 and 214.96
Half scale
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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.