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Finding the Fourth Proportional to 595.54, 821.84 and 346.76

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Solution

The fourth proportional to 595.54, 821.84 and 346.76 is: 478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.54 : 821.84 = 346.76 : x
  2. Step 2: Convert to fraction form
    595.54/821.84 = 346.76/x
  3. Step 3: Cross multiply
    595.54x = 821.84 × 346.76
  4. Step 4: Simplify right side
    595.54x = 284,981.24
  5. Step 5: Solve for x
    x = 284,981.24/595.54
  6. Step 6: Final answer
    x = 478.53

Related Problems

Find fourth proportional to 297.77, 410.92 and 173.38
Half scale
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Double scale
Find fourth proportional to 596.54, 823.22 and 347.76
Similar ratio
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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.