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Finding the Fourth Proportional to 1,054.86, 1,582.89 and 507.15

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Solution

The fourth proportional to 1,054.86, 1,582.89 and 507.15 is: 761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.86 : 1,582.89 = 507.15 : x
  2. Step 2: Convert to fraction form
    1,054.86/1,582.89 = 507.15/x
  3. Step 3: Cross multiply
    1,054.86x = 1,582.89 × 507.15
  4. Step 4: Simplify right side
    1,054.86x = 802,762.66
  5. Step 5: Solve for x
    x = 802,762.66/1,054.86
  6. Step 6: Final answer
    x = 761.01

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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.