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Finding the Fourth Proportional to 630.83, 870.44 and 378.77

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Solution

The fourth proportional to 630.83, 870.44 and 378.77 is: 522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.83 : 870.44 = 378.77 : x
  2. Step 2: Convert to fraction form
    630.83/870.44 = 378.77/x
  3. Step 3: Cross multiply
    630.83x = 870.44 × 378.77
  4. Step 4: Simplify right side
    630.83x = 329,690.31
  5. Step 5: Solve for x
    x = 329,690.31/630.83
  6. Step 6: Final answer
    x = 522.63

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Find fourth proportional to 315.42, 435.22 and 189.38
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.