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Finding the Fourth Proportional to 562.89, 776.77 and 353.19

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Solution

The fourth proportional to 562.89, 776.77 and 353.19 is: 487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.89 : 776.77 = 353.19 : x
  2. Step 2: Convert to fraction form
    562.89/776.77 = 353.19/x
  3. Step 3: Cross multiply
    562.89x = 776.77 × 353.19
  4. Step 4: Simplify right side
    562.89x = 274,346.34
  5. Step 5: Solve for x
    x = 274,346.34/562.89
  6. Step 6: Final answer
    x = 487.39

Related Problems

Find fourth proportional to 281.45, 388.39 and 176.59
Half scale
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Double scale
Find fourth proportional to 563.89, 778.15 and 354.19
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.