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Finding the Fourth Proportional to 616.40, 920.20 and 594.77

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Solution

The fourth proportional to 616.40, 920.20 and 594.77 is: 887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.40 : 920.20 = 594.77 : x
  2. Step 2: Convert to fraction form
    616.40/920.20 = 594.77/x
  3. Step 3: Cross multiply
    616.40x = 920.20 × 594.77
  4. Step 4: Simplify right side
    616.40x = 547,308.84
  5. Step 5: Solve for x
    x = 547,308.84/616.40
  6. Step 6: Final answer
    x = 887.92

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.