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Finding the Fourth Proportional to 765.64, 1,056.30 and 500.08

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Solution

The fourth proportional to 765.64, 1,056.30 and 500.08 is: 689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.64 : 1,056.30 = 500.08 : x
  2. Step 2: Convert to fraction form
    765.64/1,056.30 = 500.08/x
  3. Step 3: Cross multiply
    765.64x = 1,056.30 × 500.08
  4. Step 4: Simplify right side
    765.64x = 528,234.50
  5. Step 5: Solve for x
    x = 528,234.50/765.64
  6. Step 6: Final answer
    x = 689.93

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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.