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Finding the Fourth Proportional to 765.89, 1,056.77 and 529.46

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Solution

The fourth proportional to 765.89, 1,056.77 and 529.46 is: 730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.89 : 1,056.77 = 529.46 : x
  2. Step 2: Convert to fraction form
    765.89/1,056.77 = 529.46/x
  3. Step 3: Cross multiply
    765.89x = 1,056.77 × 529.46
  4. Step 4: Simplify right side
    765.89x = 559,509.51
  5. Step 5: Solve for x
    x = 559,509.51/765.89
  6. Step 6: Final answer
    x = 730.54

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Double scale
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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.