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Finding the Fourth Proportional to 853.19, 1,174.35 and 616.76

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Solution

The fourth proportional to 853.19, 1,174.35 and 616.76 is: 848.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.19 : 1,174.35 = 616.76 : x
  2. Step 2: Convert to fraction form
    853.19/1,174.35 = 616.76/x
  3. Step 3: Cross multiply
    853.19x = 1,174.35 × 616.76
  4. Step 4: Simplify right side
    853.19x = 724,292.11
  5. Step 5: Solve for x
    x = 724,292.11/853.19
  6. Step 6: Final answer
    x = 848.92

Related Problems

Find fourth proportional to 426.60, 587.18 and 308.38
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.