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Finding the Fourth Proportional to 614.99, 921.78 and 307.06

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Solution

The fourth proportional to 614.99, 921.78 and 307.06 is: 460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.99 : 921.78 = 307.06 : x
  2. Step 2: Convert to fraction form
    614.99/921.78 = 307.06/x
  3. Step 3: Cross multiply
    614.99x = 921.78 × 307.06
  4. Step 4: Simplify right side
    614.99x = 283,041.77
  5. Step 5: Solve for x
    x = 283,041.77/614.99
  6. Step 6: Final answer
    x = 460.24

Related Problems

Find fourth proportional to 307.50, 460.89 and 153.53
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.