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Finding the Fourth Proportional to 594.93, 820.24 and 384.75

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Solution

The fourth proportional to 594.93, 820.24 and 384.75 is: 530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.93 : 820.24 = 384.75 : x
  2. Step 2: Convert to fraction form
    594.93/820.24 = 384.75/x
  3. Step 3: Cross multiply
    594.93x = 820.24 × 384.75
  4. Step 4: Simplify right side
    594.93x = 315,587.34
  5. Step 5: Solve for x
    x = 315,587.34/594.93
  6. Step 6: Final answer
    x = 530.46

Related Problems

Find fourth proportional to 297.47, 410.12 and 192.38
Half scale
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Double scale
Find fourth proportional to 595.93, 821.62 and 385.75
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.