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Finding the Fourth Proportional to 923.30, 1,384.54 and 345.77

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Solution

The fourth proportional to 923.30, 1,384.54 and 345.77 is: 518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.30 : 1,384.54 = 345.77 : x
  2. Step 2: Convert to fraction form
    923.30/1,384.54 = 345.77/x
  3. Step 3: Cross multiply
    923.30x = 1,384.54 × 345.77
  4. Step 4: Simplify right side
    923.30x = 478,726.77
  5. Step 5: Solve for x
    x = 478,726.77/923.30
  6. Step 6: Final answer
    x = 518.50

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Half scale
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Double scale
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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.