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Finding the Fourth Proportional to 570.76, 787.51 and 346.64

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Solution

The fourth proportional to 570.76, 787.51 and 346.64 is: 478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.76 : 787.51 = 346.64 : x
  2. Step 2: Convert to fraction form
    570.76/787.51 = 346.64/x
  3. Step 3: Cross multiply
    570.76x = 787.51 × 346.64
  4. Step 4: Simplify right side
    570.76x = 272,982.47
  5. Step 5: Solve for x
    x = 272,982.47/570.76
  6. Step 6: Final answer
    x = 478.28

Related Problems

Find fourth proportional to 285.38, 393.76 and 173.32
Half scale
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Double scale
Find fourth proportional to 571.76, 788.89 and 347.64
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.